Publications and communications of Samuel Nicolay

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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. (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

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.

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

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

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

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., & 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.

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.

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.

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.

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.

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

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.

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., & 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

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.

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.

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

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

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

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.

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

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

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

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

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

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

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

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

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.

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.

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

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. (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., 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

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

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

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.

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.

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

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

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

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

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

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