Nicolay Samuel

Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Mathematics

See author's contact details
ORCID
0000-0003-0549-0566
Main Referenced Co-authors
Deliège, Adrien  (25)
Kleyntssens, Thomas  (24)
Fettweis, Xavier  (21)
Erpicum, Michel  (14)
Mabille, Georges  (14)
Main Referenced Keywords
wavelet (14); Hölder exponent (11); Wavelets (10); multifractal formalism (9); Hölder spaces (8);
Main Referenced Unit & Research Centers
Analyse, analyse fonctionnelle et ondelettes (1)
Labo de Bioénergétique (1)
Laboratoire de Climatologie et Topocalimatologie (1)
Laboratoire de Climatologie et Topoclimatologie (1)
Laboratoire de bioénergétique (1)
Main Referenced Disciplines
Mathematics (114)
Earth sciences & physical geography (26)
Physical, chemical, mathematical & earth Sciences: Multidisciplinary, general & others (19)
Physics (5)
Biochemistry, biophysics & molecular biology (3)

Publications (total 148)

The most downloaded
926 downloads
Mabille, G., Fettweis, X., Erpicum, M., & Nicolay, S. (2012). Étude fréquentielle de données via la transformée en ondelette : application aux cycles climatiques. Bulletin de la Société Géographique de Liège, 58, 5-15. https://hdl.handle.net/2268/130364

The most cited

157 citations (OpenAlex)

Huvet, M., Nicolay, S., Touchon, M., Audit, B., d'Aubenton-Carafa, Y., Arneodo, A., & Thermes, C. (2007). Human gene organization driven by the coordination of replication and transcription. Genome Research, 17 (9), 1278-1285. doi:10.1101/gr.6533407 https://hdl.handle.net/2268/1803

Nicolay, S. (26 September 2024). Functional spaces defined via Boyd functions [Paper presentation]. Function Spaces, Differential Operators, and Nonlinear Analysis, Oberhof, Germany.
Editorial reviewed

Faulx, E., Fettweis, X., Mabille, G., & Nicolay, S. (April 2024). Wavelet-Induced Mode Extraction procedure: Application to climatic data [Poster presentation]. EGU General Assembly 2024, Vienne, Austria.

Molla, A., & Nicolay, S. (February 2024). A functional definition of polynomial for connected Lie groups. Journal of Mathematical Analysis and Applications, 530 (1), 127679. doi:10.1016/j.jmaa.2023.127679
Peer Reviewed verified by ORBi

Lamby, T., & Nicolay, S. (February 2024). Interpolation with a function parameter from the category point of view. Journal of Functional Analysis, 286 (3), 110249. doi:10.1016/j.jfa.2023.110249
Peer Reviewed verified by ORBi

Bennabi, S., & Nicolay, S. (2024). Aconstruction of the real numbers based on Weierstrass's approach. Rocky Mountain Journal of Mathematics.
Peer reviewed

Nicolay, S. (2023). Liège : l’université organise des cours préparatoires pour les rhétoriciens. Bruxelles, Belgium: Journal télévisé.

Molla, A., & Nicolay, S. (2023). The monomial functional equation for connected Lie groups. Aequationes Mathematicae. doi:10.1007/s00010-023-00969-8
Peer Reviewed verified by ORBi

Nicolay, S. (January 2023). Sur les démonstrations du théorème de Borel-Lebesgue. Quadrature: Magazine de Mathématiques Pures et Appliquées, 127, 35-39.
Peer reviewed

Kleyntssens, T., & Nicolay, S. (2023). Generalized Sν spaces. Mathematische Nachrichten. doi:10.1002/mana.202200133
Peer Reviewed verified by ORBi

Nicolay, S. (27 October 2022). On some generalisations of the Fréchet functional equations [Paper presentation]. Journées du GdR AFHP 2022, Corte, France.
Editorial reviewed

Lamby, T., & Nicolay, S. (30 August 2022). Some remarks on the Boyd functions related to the admissible sequences. Zeitschrift für Analysis und ihre Anwendungen, 41, 211-227. doi:10.4171/zaa/1705
Peer Reviewed verified by ORBi

Loosveldt, L., & Nicolay, S. (01 July 2022). Some Prevalent Sets in Multifractal Analysis: How Smooth is Almost Every Function in $T_p^\alpha (x)$. Journal of Fourier Analysis and Applications, 28 (4). doi:10.1007/s00041-022-09951-5
Peer reviewed

Lamby, T., & Nicolay, S. (20 June 2022). Generalized Interpolation: a Functorial Point of View [Paper presentation]. WFCA22-VALLADOLID, Valladolid, Spain.

Nicolay, S. (08 June 2022). Statistical results for the multifractal formalism based on the $S^\nu$ spaces [Paper presentation]. Scale Invariance and Randomness, Villeneuve d'Ascq, France.
Peer reviewed

Kleyntssens, T., & Nicolay, S. (2022). From the Brownian motion to a multifractal process using the Lévy-Ciesielski construction. Statistics and Probability Letters, 186C, 109450. doi:10.1016/j.spl.2022.109450
Peer Reviewed verified by ORBi

Nicolay, S. (27 September 2021). A refinement of the Snu-based multifractal formalism [Paper presentation]. Journées annuelles du GDR AMA, Porquerolles, France.

Loosveldt, L., & Nicolay, S. (09 August 2021). Generalized spaces of pointwise regularity: toward a general framework for the WLM. Nonlinearity, 34, 6561-6586. doi:10.1088/1361-6544/ac1724
Peer Reviewed verified by ORBi

Molla, A., & Nicolay, S. (27 February 2021). The Fréchet Functional Equation for Lie Groups. Mediterranean Journal of Mathematics, 18 (2). doi:10.1007/s00009-021-01701-z
Peer Reviewed verified by ORBi

Nicolay, S. (12 November 2020). Multifractal analysis: on the trail of Cantor [Paper presentation]. Annual conference of the GDR AFHP, Marseille, France.

Loosveldt, L., & Nicolay, S. (October 2020). Generalized T_u^p spaces: On the trail of Calderón and Zygmund. Dissertationes Mathematicae, 554. doi:10.4064/dm798-4-2020
Peer reviewed

Nicolay, S. (03 October 2019). A time-filling talk about fractals [Paper presentation]. Journées GdR analyse multifractale 2019, Vielsalm, Belgium.

Loosveldt, L., & Nicolay, S. (October 2019). Some equivalent definitions of Besov spaces of generalized smoothness. Mathematische Nachrichten, 292 (10), 2262-2282. doi:10.1002/mana.201800111
Peer Reviewed verified by ORBi

Nicolay, S. (2019). Des maths dans l'ADN [Paper presentation]. Pi Day 2019, Liège, Belgium.

Allan, M., Deliège, A., Verheyden, S., Nicolay, S., Quinif, Y., & Fagel, N. (2019). Corrigendum to “Evidence for solar influence in a Holocene speleothem record (Père Nöel cave, SE Belgium)” (Quaternary Science Reviews (2018) 192 (249–262), (S0277379118302038) (10.1016/j.quascirev.2018.05.039)). Quaternary Science Reviews. doi:10.1016/j.quascirev.2019.02.024
Peer Reviewed verified by ORBi

Nicolay, S. (2019). Sur la notion de dimension. Quadrature: Magazine de Mathématiques Pures et Appliquées, 111, 31-36.
Peer reviewed

Loosveldt, L., & Nicolay, S. (07 November 2018). Generalized regularity spaces : toward the detection of a logarithmic correction in multi fractal analysis [Paper presentation]. FNRS Contact Group "Wavelets and applications", Bruxelles, Belgium.
Editorial reviewed

Molla, A., Nicolay, S., & Schneiders, J.-P. (October 2018). On some generalizations of the Fréchet functional equations. Journal of Mathematical Analysis and Applications, 466 (2), 1400-1409. doi:10.1016/j.jmaa.2018.06.058
Peer Reviewed verified by ORBi

Loosveldt, L., & Nicolay, S. (19 September 2018). Generalized regularity spaces. Part II: on the trail of Calderon and Zygmund [Paper presentation]. Journées GdR Analyse Multifractale 2018, Domaine de Chalès, France.
Editorial reviewed

Loosveldt, L., & Nicolay, S. (19 September 2018). Generalized Regularity spaces. Part I: A wavelet-based approach [Paper presentation]. Journées GdR Analyse Multifractale 2018, Domaine de Chalès, France.
Editorial reviewed

Allan, M., Deliège, A., Verheyden, S., Nicolay, S., & Fagel, N. (2018). Evidence for solar influence in a Holocene speleothem record (Père Noël cave, SE Belgium). Quaternary Science Reviews. doi:10.1016/j.quascirev.2018.05.039
Peer Reviewed verified by ORBi

Nicolay, S. (2018). Analyse Mathématique : Fonctions définies sur une partie de la droite réelle. Paris, France: Ellipses.

Kreit, D., & Nicolay, S. (May 2018). Generalized Pointwise Hoelder Spaces Defined via Admissible Sequences. Journal of Function Spaces, 2018, 11. doi:10.1155/2018/8276258
Peer Reviewed verified by ORBi

Kleyntssens, T., Reynaerts, L., & Nicolay, S. (12 April 2018). A study of histograms of wavelet coefficients of the Mars topography to determine its scaling properties [Poster presentation]. European Geosciences Union General Assembly 2018.

Deliège, A., & Nicolay, S. (April 2018). Analysis and indication on long-term forecasting of the Oceanic Niño index with wavelet-induced components [Poster presentation]. European Geosciences Union General Assembly 2018, Wien, Austria.

Reynaerts, L., Fettweis, X., & Nicolay, S. (April 2018). Global warming and natural variability [Poster presentation]. European Geosciences Union General Assembly 2018, Wien, Austria.

Kleyntssens, T., Esser, C., & Nicolay, S. (2018). An algorithm for computing non-concave multifractal spectra using the Sν spaces. Communications in Nonlinear Science and Numerical Simulation, 56, 526-543. doi:10.1016/j.cnsns.2017.08.029
Peer Reviewed verified by ORBi

Deliège, A., & Nicolay, S. (11 September 2017). Extracting oscillating components from nonstationary time series: A wavelet-induced method. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 96. doi:10.1103/PhysRevE.96.033307
Peer Reviewed verified by ORBi

Esser, C., Kleyntssens, T., & Nicolay, S. (September 2017). A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method. Applied and Computational Harmonic Analysis, 43 (2), 269-291. doi:10.1016/j.acha.2015.12.006
Peer Reviewed verified by ORBi

Allan, M., Deliège, A., Nicolay, S., verheyden, S., & Fagel, N. (2017). Does Belgian Holocene speleothem record solar forcing and cold events? ORBi-University of Liège. https://orbi.uliege.be/handle/2268/213231. doi:10.5194/cp-2017-91

Allan, M., Deliège, A., Nicolay, S., verheyden, S., & Fagel, N. (12 May 2017). Belgian speleothem records Holocene cold events? [Poster presentation]. PAGES-OSM, Zaragoza, Spain.

Deliège, A., & Nicolay, S. (February 2017). Analysis and indications on long-term forecasting of the Oceanic Niño Index with wavelet-induced components. Pure and Applied Geophysics, 174 (4), 1815-1826. doi:10.1007/s00024-017-1491-4
Peer Reviewed verified by ORBi

Clausel, M., & Nicolay, S. (2017). A Weak Local Irregularity Property in Sν Spaces. Mediterranean Journal of Mathematics, 14 (3), 102. doi:10.1007/s00009-017-0902-1
Peer Reviewed verified by ORBi

Deliège, A.* , Kleyntssens, T.* , & Nicolay, S. (2017). Mars Topography Investigated Through the Wavelet Leaders Method: a Multidimensional Study of its Fractal Structure. Planetary and Space Science, 136C, 46-58. doi:10.1016/j.pss.2016.12.008
Peer Reviewed verified by ORBi
* These authors have contributed equally to this work.

Kleyntssens, T., & Nicolay, S. (19 September 2016). Raffinement de l'estimation asymptotique de l'exposant de Hölder [Paper presentation]. Journées du GDR Analyse Multifractale - Avignon 2016.

Nicolay, S., & Simons, L. (June 2016). About the multifractal nature of Cantor's bijection: Bounds for the Hölder exponent at almost every irrational point. Fractals, 24 (2), 1650014-1 - 1650014-9. doi:10.1142/S0218348X16500146
Peer Reviewed verified by ORBi

Kleyntssens, T., Kreit, D., & Nicolay, S. (12 April 2016). A Refined Method for Estimating the Global Hölder Exponent [Paper presentation]. 13th International Conference on Information Technology : New Generations, Las Vegas, United States - Nevada.

Deliège, A., & Nicolay, S. (2016). A New Wavelet-Based Mode Decomposition for Oscillating Signals and Comparison with the Empirical Mode Decomposition. In Information Technology: New Generations (pp. 959-968). Switzerland: Springer. doi:10.1007/978-3-319-32467-8_83
Peer reviewed

Deliège, A., Kleyntssens, T., & Nicolay, S. (April 2016). Poster EGU 2016: Mars Topography Investigated Through the Wavelet Leaders Method [Poster presentation]. European Geosciences Union General Assembly 2016, Vienne, Austria.

Deliège, A., & Nicolay, S. (April 2016). [Beamer] A New Wavelet-Based Mode Decomposition for Oscillating Signals and Comparison with the Empirical Mode Decomposition [Paper presentation]. 13th International Conference on Information Technology : New Generations, Las Vegas, United States - Nevada.

Nicolay, S., & Kreit, D. (2016). A Refined Method for Estimating the Global Hölder Exponent. In S. Latifi (Ed.), Information Technology: New Generations (1st ed, pp. 949-958). Switzerland: Springer. doi:10.1007/978-3-319-32467-8_82
Peer reviewed

Kleyntssens, T., Deliège, A., & Nicolay, S. (2016). The Fractal Nature of Mars Topography Analyzed via the Wavelet Leaders Method. In Information Technology: New Generations. Switzerland: Springer. doi:10.1007/978-3-319-32467-8_117
Peer reviewed

Kleyntssens, T., & Nicolay, S. (23 March 2016). Wavelet-based Methods to Study the Regularity of a Signal: from Theory to Practice [Paper presentation]. BeNeLuxMC 2016 : KWG prize for PhD student.

Kreit, D., & Nicolay, S. (2016). Some characterizations about Generalized Hölder-Zygmund Spaces Λ_{σ,N}^{α}(R^d). (Version en attente de soumission 02/2016). ORBi-University of Liège. https://orbi.uliege.be/handle/2268/196532.

Kleyntssens, T., Deliège, A., & Nicolay, S. (2016). The Fractal Nature of Mars Topography Analyzed via the Wavelet Leaders Method [Poster presentation]. 13th International Conference on Information Technology : New Generations.

Deliège, A., & Nicolay, S. (2016). Köppen–Geiger Climate Classification for Europe Recaptured via the Hölder Regularity of Air Temperature Data. Pure and Applied Geophysics, 173, 2885-2898. doi:10.1007/s00024-016-1339-3
Peer Reviewed verified by ORBi

Nicolay, S. (2016). Une construction des nombres hyperréels. Quadrature: Magazine de Mathématiques Pures et Appliquées, 102, 20-23.
Peer reviewed

Bastin, F., Nicolay, S., & Simons, L. (2016). About the Uniform Hölder Continuity of Generalized Riemann Function. Mediterranean Journal of Mathematics, 13 (1), 101-117. doi:10.1007/s00009-014-0501-3
Peer Reviewed verified by ORBi

Kreit, D., & Nicolay, S. (24 September 2015). On generalized Hölder spaces [Paper presentation]. Fractals and Related Fields, Porquerolles, France.

Kleyntssens, T., Nicolay, S., Vandomme, E., & Rigo, M. (23 September 2015). Use of the wavelet theory as a tool to investigate the l-abelian complexity of a sequence [Poster presentation]. Fractals and Related Fields III, Porquerolles, France.

Deliège, A., & Nicolay, S. (08 September 2015). A wavelet-based mode decomposition compared to the EMD [Poster presentation]. GRETSI 2015, Lyon, France.

Kleyntssens, T., & Nicolay, S. (08 September 2015). The leaders profile method: detection of distinct processes in a signal [Poster presentation]. Gretsi 2015.
Peer reviewed

Nicolay, S. (2015). Les nombres. Paris, France: Hermann.

Nicolay, S., Kleyntssens, T., & Mainz, I. (2015). Les algorithmes : entre quotidien et créativité [Paper presentation]. Soirée de clôture de saison Liège Créative, Liège, Belgium.

Kleyntssens, T., & Nicolay, S. (16 June 2015). A generalization of the Snu spaces: getting rid of dyadic scales [Paper presentation]. Workshop on Functional Analysis Valencia 2015 on the occasion of the 60th birthday of José Bonet.

Deliège, A., Nicolay, S., & Fettweis, X. (June 2015). A forecasting method using a wavelet-based mode decomposition and application to the ENSO index [Paper presentation]. 35th International Symposium on Forecasting, Riverside, California, United States.

Simons, L., & Nicolay, S. (25 May 2015). About the Regularity of Cantor's Bijection [Paper presentation]. Automatic Sequences 2015, Liège, Belgium.

Deliège, A., Nicolay, S., & Fettweis, X. (13 April 2015). EGU2015 - ENSO forecast using a wavelet-based mode decomposition [Paper presentation]. European Geosciences Union General Assembly 2015, Vienne, Austria.

Deliège, A., & Nicolay, S. (2015). Par A plus B [Paper presentation]. Émission radio "Par A plus B", Bruxelles, Belgium.

Deliège, A., Nicolay, S., & Fettweis, X. (December 2014). ENSO forecast using a wavelet-based mode decomposition [Poster presentation]. 577 WE-Heraeus-Seminar on Health, Energy & Extreme Events in a Changing Climate, Bad Honnef, Germany.

Kleyntssens, T., & Nicolay, S. (23 September 2014). De l’importance des échelles dyadiques dans les espaces Snu [Paper presentation]. Journées du GDR Analyse Multifractale.

Simons, L., Bastin, F., & Nicolay, S. (22 September 2014). Fonction de Riemann généralisée [Paper presentation]. Journées du GDR Analyse Multifractale, Nouan-le-Fuzelier, France.

Deliège, A., & Nicolay, S. (20 August 2014). A multifractal analysis of air temperature signals based on the wavelet leaders method [Paper presentation]. Seventh Solar Information Processing Workshop, La Roche en Ardenne, Belgium.

Deliège, A., & Nicolay, S. (25 June 2014). A wavelet leaders-based climate classification of European surface air temperature signals [Paper presentation]. International work-conference on time series analysis, Grenade, Spain.

Deliège, A., & Nicolay, S. (2014). A wavelet leaders-based climate classification of European surface air temperature signals. In G. Ruiz Garcia & I. Rojas Ruiz (Eds.), Proceedings of the International work-conference on Time Series: Volume 1, Granada 25-27 June 2014 (pp. 40-51). Grenade, Spain: Copicentro Granada S.L.
Peer reviewed

Deliège, A., & Nicolay, S. (19 June 2014). A wavelet-based analysis of surface air temperature regularity [Paper presentation]. Séminaire interne entre doctorants, Liège, Belgium.

Deliège, A., & Nicolay, S. (06 June 2014). A wavelet-based analysis of surface air temperature variability [Paper presentation]. MeteoClim 2014, Antwerp's Ecohuis, Belgium.

Esser, C., Kleyntssens, T., Bastin, F., & Nicolay, S. (22 May 2014). Detection of non concave and non increasing multifractal spectra using wavelet leaders (Part I) [Paper presentation]. FNRS Contact Group “Wavelets and Applications”.

Kleyntssens, T., Esser, C., & Nicolay, S. (22 May 2014). Detection of non concave and non increasing multifractal spectra using wavelet leaders (Part II) [Paper presentation]. FNRS Contact Group “Wavelets and Applications”.

Deliège, A., & Nicolay, S. (22 May 2014). Multifractal analysis of air temperature signals using the wavelet leaders method [Paper presentation]. Groupe de contact FNRS "Wavelets and Applications", Bruxelles (ULB), Belgium.

Deliège, A., & Nicolay, S. (25 March 2014). A multifractal-based climate analysis [Paper presentation]. Fractal Geometry and Stochastics V, Tabarz, Germany.

Esser, C., Kleyntssens, T., Nicolay, S., & Bastin, F. (25 March 2014). A new multifractal formalism based on wavelet leaders : detection of non concave and non increasing spectra (Part I) [Paper presentation]. Fractal Geometry and Stochastics V, Tabarz, Germany.

Kleyntssens, T., Esser, C., & Nicolay, S. (25 March 2014). A new multifractal formalism based on wavelet leaders: detection of non concave and non increasing spectra (Part II) [Paper presentation]. Fractal Geometry and Stochastics V.

Clausel, M., & Nicolay, S. (25 March 2014). A Weak Local Irregularity Property in $S^\nu$ spaces [Paper presentation]. Fractal Geometry and Stochastics V, Tabarz, Germany.

Simons, L., & Nicolay, S. (25 March 2014). About the Multifractal Nature of Cantor's Bijection [Paper presentation]. Fractal Geometry and Stochastics V, Tabarz, Germany.

de Marchin, T., Ghysels, B., Nicolay, S., & Franck, F. (January 2014). Analysis of PSII antenna size heterogeneity of Chlamydomonas reinhardtii during state transitions. Biochimica et Biophysica Acta. Bioenergetics, 1837 (1), 121-130. doi:10.1016/j.bbabio.2013.07.009
Peer Reviewed verified by ORBi

Nicolay, S., & Kreit, D. (31 October 2013). Generalized Pointwise Hölder Spaces [Paper presentation]. Nord Pas de Calais/Belgium congress of mathematics, Valenciennes, Belgium.

Kleyntssens, T., & Nicolay, S. (29 October 2013). Snu Spaces, from Theory to Practice [Poster presentation]. 1st Nord Pas de Calais/Belgium conference.

Kreit, D., & Nicolay, S. (29 October 2013). On generalized Hölder-Zygmund spaces [Poster presentation]. Nord Pas de Calais/Belgium Congress of mathematics, Valenciennes, France.

Kleyntssens, T., & Nicolay, S. (24 September 2013). Mise en oeuvre du formalisme multifractal sur les espaces Snu [Paper presentation]. Colloque GDR Multifractales 2013.

Kleyntssens, T., & Nicolay, S. (09 September 2013). Implementation of the Multifractal Formalism on Snu Spaces [Paper presentation]. Fourth PhD-Day : Royal Academy, September 9th, 2013.

de Marchin, T., Ghysels, B., Nicolay, S., & Franck, F. (18 June 2013). Analysis of PSII antenna size heterogeneity of Chlamydomonas reinhardtii during state transitions - Colloque annuel de la Société Française de Photosynthèse [Paper presentation]. Colloque annuel de la Société Française de Photosynthèse.

Simons, L., Bastin, F., & Nicolay, S. (31 May 2013). An adaptation of $S^{\nu}$ spaces [Paper presentation]. Mini-cours, Analyse fonctionnelle et harmonique et théorie des opérateurs, Lens, France.

Simons, L., & Nicolay, S. (28 January 2013). Régularité de la fonction de Cantor [Paper presentation]. Séminaires compréhensibles, Liège, Belgium.

Kreit, D., & Nicolay, S. (2013). Characterizations of the elements of generalized Hölder-Zygmund spaces by means of their representation. Journal of Approximation Theory, 172, 23-36. doi:10.1016/j.jat.2013.04.003
Peer Reviewed verified by ORBi

Nicolay, S., & Fettweis, X. (10 September 2012). Several years El Niño forecast using a wavelet-based mode decomposition [Paper presentation]. FNRS Contact Group: Wavelets and Applications, Bruxelles, Belgium.

Bastin, F., Nicolay, S., & Esser, C. (08 May 2012). About Generic Properties of "Nowhere Analyticity" [Paper presentation]. Functional Analysis: Applications to Complex Analysis and Partial Differential Equations, Poznan (Bedlewo), Poland.

Simons, L., & Nicolay, S. (07 May 2012). About the Regularity of Cantor's Bijection [Paper presentation]. Functional Analysis : Applications to Complex Analysis and Partial Differential Equations, Bedlewo (Poznan), Poland.

Nicolay, S., & Fettweis, X. (23 April 2012). Several years El Niño forecast using a wavelet-based mode decomposition [Paper presentation]. European Geoscience Union General Assembly 2012.

Mabille, G., & Nicolay, S. (2012). Découverte d’un nouveau cycle du climat. Penser l'espace.

Kreit, D., & Nicolay, S. (2012). Some characterizations of generalized Hölder spaces. Mathematische Nachrichten, 285 (17-18), 2157-2172. doi:10.1002/mana.201100291
Peer Reviewed verified by ORBi

Mabille, G., Fettweis, X., Erpicum, M., & Nicolay, S. (2012). Étude fréquentielle de données via la transformée en ondelette : application aux cycles climatiques. Bulletin de la Société Géographique de Liège, 58, 5-15.
Peer Reviewed verified by ORBi

Clausel, M., & Nicolay, S. (2012). A Wavelet Characterization for the Upper Global Hölder Index. Journal of Fourier Analysis and Applications, 18 (4), 750-769. doi:10.1007/s00041-012-9220-y
Peer reviewed

Bastin, F., Esser, C., & Nicolay, S. (2012). Prevalence of ''nowhere analyticity''. Studia Mathematica, 210 (3). doi:10.4064/sm210-3-4
Peer Reviewed verified by ORBi

Fettweis, X., Belleflamme, A., Erpicum, M., Franco, B., & Nicolay, S. (2011). Estimation of the Sea Level Rise by 2100 Resulting from Changes in the Surface Mass Balance of the Greenland Ice Sheet. In J. Blanco & H. Kheradmand (Eds.), Climate Change - Geophysical Foundations and Ecological Effects (pp. 503-520). Croatia: Intech.

Kreit, D., & Nicolay, S. (June 2011). On generalized Hölder spaces [Poster presentation]. Meeting on self-similarity and related fields, Le Touquet-Paris-Plage, France.

Nicolay, S. (09 March 2011). A wavelet-based mode decomposition. European Physical Journal B -- Condensed Matter, 80, 223-232. doi:10.1140/epjb/e2011-10756-3
Peer Reviewed verified by ORBi

Clausel, M., & Nicolay, S. (2011). Wavelets Techniques for Pointwise Anti-Hölderian Irregularity. Constructive Approximation, 33, 41-75. doi:10.1007/s00365-010-9120-9
Peer Reviewed verified by ORBi

Franco, B., Fettweis, X., Erpicum, M., & Nicolay, S. (2011). Present and future climates of the Greenland ice sheet according to the IPCC AR4 models. Climate Dynamics, 36. doi:10.1007/s00382-010-0779-1
Peer Reviewed verified by ORBi

Fettweis, X., Mabille, G., Erpicum, M., Nicolay, S., & Van den Broeke, M. (2011). The 1958–2009 Greenland ice sheet surface melt and the mid-tropospheric atmospheric circulation. Climate Dynamics, 36 (1 (2011)), 139-159. doi:10.1007/s00382-010-0772-8
Peer Reviewed verified by ORBi

Clausel, M., & Nicolay, S. (2010). Some prevalent results about strongly monoHölder functions. Nonlinearity, 23, 2101-2116. doi:10.1088/0951-7715/23/9/004
Peer Reviewed verified by ORBi

Baker, A., Nicolay, S., Zaghloul, L., D'Aubenton-Carafa, Y., Thermes, C., Audit, B., & Arneodo, A. (2010). Wavelet-based method to disentangle transcription-and replication-associated strand asymmetries in mammalian genomes. Applied and Computational Harmonic Analysis, 28, 150-170. doi:10.1016/j.acha.2009.10.003
Peer Reviewed verified by ORBi

Nicolay, S., Mabille, G., Fettweis, X., & Erpicum, M. (2010). Multi-Months Cycles Observed in Climatic Data. In S. Simard (Ed.), Climate Change and Variability (pp. 27-44). Sciyo.

Nicolay, S., Mabille, G., Fettweis, X., & Erpicum, M. (2010). A statistical validation for the cycles found in air temperature data using a Morlet wavelet-based method. Nonlinear Processes in Geophysics, 17, 269-272. doi:10.5194/npg-17-269-2010
Peer Reviewed verified by ORBi

Jaffard, S., & Nicolay, S. (2010). Space-Filling Functions and Davenport Series. In J. Barral & S. Seuret (Eds.), Recent Developments in Fractals and Related Fields (pp. 19-34). Boston, United States: Birkhäuser. doi:10.1007/978-0-8176-4888-6_2
Peer reviewed

Nicolay, S., & Mabille, G. (2009). De la démarche scientifique face aux changements climatiques. Le Soir.

Mabille, G., Fettweis, X., Erpicum, M., & Nicolay, S. (April 2009). Confidence Levels for the Cycles Found in Air Temperature Data [Poster presentation]. European Geosciences Union General Assembly, Vienne, Austria.

Franco, B., Fettweis, X., Erpicum, M., & Nicolay, S. (April 2009). Greenland ice sheet projections from IPCC AR4 global models [Poster presentation]. European Geosciences Union General Assembly 2009, Vienna, Austria.

Nicolay, S., Mabille, G., Fettweis, X., & Erpicum, M. (April 2009). Cycles in the Temperature Data Are Induced by the Sun [Poster presentation]. European Geosciences Union General Assembly, Vienne, Austria.

Nicolay, S., Mabille, G., Fettweis, X., & Erpicum, M. (25 February 2009). Cycles found in air temperature data and proxy series using the Morlet wavelet method [Paper presentation]. Seminar klimatologi, København, Denmark.

Nicolay, S., Mabille, G., Fettweis, X., & Erpicum, M. (13 January 2009). New cycles found in air temperature data and proxy series using the Morlet wavelet method [Paper presentation]. FNRS Contact Group "Wavelets and applications", Bruxelles, Belgium.

Nicolay, S., Mabille, G., Fettweis, X., & Erpicum, M. (2009). 30 and 43 months period cycles found in air temperature time series using the Morlet wavelet. Climate Dynamics, 33, 1117-1129. doi:10.1007/s00382-008-0484-5
Peer Reviewed verified by ORBi

Arneodo, A., Audit, B., Brodie of Brodie, E. B., Nicolay, S., Touchon, M., D'Aubenton-Carafa, Y., Huvet, M., & Thermes, C. (2009). Fractals and wavelets: What can we learn on transcription and replication from wavelet-based multifractal analysis of DNA sequences? In R. A. Meyers (Ed.), Encyclopedia of Complexity and Systems Science (pp. 3893-3924). Springer.

Jaffard, S., & Nicolay, S. (2009). Pointwise smoothness of space-filling functions. Applied and Computational Harmonic Analysis, 26 (2), 181-199. doi:10.1016/j.acha.2008.04.002
Peer Reviewed verified by ORBi

Mabille, G., & Nicolay, S. (2009). Multy-year cycles observed in air temperature data and proxy series. European Physical Journal. Special Topics, 174, 135-145. doi:10.1140/epjst/e2009-01096-4
Peer Reviewed verified by ORBi

Nicolay, S. (17 October 2008). About the regularity and the irregularity of some nondi erentiable functions [Paper presentation]. Interregional Colloquium of Mathematics, Luxembourg, Luxembourg.

Nicolay, S., Mabille, G., Fettweis, X., & Erpicum, M. (01 October 2008). New cycles found in air temperature data and proxy series [Paper presentation]. 1st International Workshop on Data Analysis and Modelling in Earth Sciences, Potsdam, Germany.

Nicolay, S. (09 September 2008). About pointwise smoothness of some nondifferentiable functions [Paper presentation]. Fractal Geometry and Stochastics 4, Greifswald, Germany.

Nicolay, S. (22 May 2008). Sur la régularité ponctuelle de quelques fonctions non-dérivables [Paper presentation]. Journées «Techniques Fractales», Orléans, France.

Nicolay, S., Mabille, G., Fettweis, X., & Erpicum, M. (17 April 2008). Solar activity in connection with a 2.5 years periode cycle in air temperature time series using the Morlet wavelet method [Paper presentation]. European Geosciences Union General Assembly 2008, Vienna, Austria.

Argoul, F., Arneodo, A., Audit, B., Berguiga, L., Fontaine, É., Juanico, B., Moskalenko, C., Moukhtar, J., Nicolay, S., Saint-Jean, P., Sanejouand, Y.-H., & Zhang, S. (2008). Le patrimoine génétique : une histoire de fil a coudre ? In J.-P. Gex (Ed.), Voir l'invisible. OmniScience.

Nicolay, S., & Rigo, M. (20 April 2007). About frequencies of letters in generalized automatic sequences. Theoretical Computer Science, 374 (1-3), 25-40. doi:10.1016/j.tcs.2006.11.013
Peer Reviewed verified by ORBi

Nicolay, S., Brodie, E. B., Touchon, M., Audit, B., d'Aubenton-Carafa, Y., Thermes, C., & Arneodo, A. (March 2007). Bifractality of human DNA strand-asymmetry profiles results from transcription. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 75 (3), 032902. doi:10.1103/PhysRevE.75.032902
Peer Reviewed verified by ORBi

Audit, B., Nicolay, S., Huvet, M., Touchon, M., d'Aubenton-Carafa, Y., Thermes, C., & Arneodo, A. L. (2007). DNA replication timing data corroborate in silico human replication origin predictions. Physical Review Letters, 99, 248102. doi:10.1103/PhysRevLett.99.248102
Peer Reviewed verified by ORBi

Huvet, M., Nicolay, S., Touchon, M., Audit, B., d'Aubenton-Carafa, Y., Arneodo, A., & Thermes, C. (2007). Human gene organization driven by the coordination of replication and transcription. Genome Research, 17 (9), 1278-1285. doi:10.1101/gr.6533407
Peer Reviewed verified by ORBi

Arneodo, d'Aubenton-Carafa, Y., Audit, B., Brodie of Brodie, E. B., Nicolay, S., St Jean, P., Thermes, C., Touchon, M., & Vaillant, C. (2006). DNA in chromatin: from genome-wide sequence analysis to the modelling of replication in mammals. Advances in Chemical Physics, 135, 203-252.
Peer reviewed

Arneodo, A., d'Aubenton-Carafa, Y., Audit, B., Brodie of Brodie, E. B., Nicolay, S., St Jean, P., Thermes, C., Touchon, M., & Vaillant, C. (2006). Large-scale Analysis of the human genome: from DNA sequence analysis to the modeling of replication in higher eukaryotes. In Proceeding of the 14th EUSIPCO (pp. 1-6). IEEE Xplore.

Nicolay, S. (2006). Analyse de Séquences ADN par la Transformée en ondelettes : extraction d'informations structurelles, dynamiques et fonctionnelles [Doctoral thesis, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/73056

Brodie of Brodie, E. B., Nicolay, S., Touchon, M., Audit, B., d'Aubenton-Carafa, Y., Thermes, C., & Arneodo, A. (2005). From DNA sequence analysis to modeling replication in the human genome. Physical Review Letters, 94, 248103. doi:10.1103/PhysRevLett.94.248103
Peer Reviewed verified by ORBi

Touchon, M., Nicolay, S., Audit, B., Brodie of Brodie, E. B., d'Aubenton-Carafa, Y., Arneodo, A., & Thermes, C. (2005). Replication-associated strand asymmetries in mammalian genomes: Toward detection of replication origins. Proceedings of the National Academy of Sciences of the United States of America, 102 (28), 9836-9841. doi:10.1073/pnas.0500577102
Peer Reviewed verified by ORBi

Nicolay, S., Brodie of Brodie, E. B., Touchon, M., d'Aubenton-Carafa, Y., Thermes, C., & Arneodo, A. (2004). From scale invariance to deterministic chaos in DNA sequences: towards a deterministic description of gene organisation in the human genome. Physica A. Statistical Mechanics and its Applications, 342, 270-280. doi:10.1016/j.physa.2004.04.088
Peer Reviewed verified by ORBi

Bastin, F., & Nicolay, S. (2004). A note on moments of scaling functions. Rocky Mountain Journal of Mathematics, 34 (4, Winter), 1197-1206. doi:10.1216/rmjm/1181069795
Peer reviewed

Nicolay, S., & Sanejouand, Y. H. (2004). Functional modes of proteins are among the most robust. Physical Review Letters, 96, 078104. doi:10.1103/PhysRevLett.96.078104
Peer Reviewed verified by ORBi

Nicolay, S., Argoul, F., Touchon, M., d'Aubenton-Carafa, Y., Thermes, C., & Arneodo, A. (2004). Low frequency rythms in human DNA sequences: A key to the organization of gene location and orientation? Physical Review Letters, 93 (10), 108101. doi:10.1103/PhysRevLett.93.108101
Peer Reviewed verified by ORBi

Bastin, F., & Nicolay, S. (2003). A general recurrence relation between the moments of a scaling function. In Group 24 : Physical and Mathematical Aspects of Symmetries (pp. 921-924). Bristol, United Kingdom: Iop Publishing Ltd.

Touchon, M., Nicolay, S., Arneodo, A., d'Aubenton-Carafa, Y., & Thermes, C. (2003). Transcription-coupled TA and GC strand asymmetries in the human genome. FEBS Letters, 555, 579-582. doi:10.1016/S0014-5793(03)01306-1
Peer Reviewed verified by ORBi

Bastin, F., & Nicolay, S. (2003). A general recurrence relation between the moments of a scaling function. Institute of Physics Conference Series, 173, 921-924.

Nicolay, S. (2001). Anayse multirésolution et applications [Specialised master, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/145379

Nicolay, S. (2000). Mots générés par tag systèmes [Master’s dissertation, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/145381

Contact ORBi