Mathematik

Interessen

Maßkonzentration (Funktionalungleichungen, Konzentration in höheren Ordnungen)
Schwerpunkte u.a. diskrete Situationen (Funktionen von schwach abhängigen Zufallsvariablen, endliche Spinsysteme, Zufallsgraphen), Zufallsvariablen mit schweren (nicht-subgaußschen) Rändern
Stochastische Geometrie (Funktionale von Poissonprozessen)
Probabilistische Grenzwertsätze, Konzentrationsungleichungen
(Block-)Spinsysteme (u.a. Pottsmodell) / mathematische Physik
Zentrale Grenzwertsätze, Prinzipien großer Abweichungen

Akademische Stationen

ab 10/2023: Postdoktorand an der Universität Bielefeld (Arbeitsgruppe Prof. Dr. Friedrich Götze)
Mitglied des SFBs 701 1283 Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications (Projekt B5)
10/2021 – 09/2023: Postdoktorand an der Ruhr-Universität Bochum (Arbeitsgruppe Prof. Dr. Christoph Thäle)
03/2016 – 09/2021: Postdoktorand an der Universität Bielefeld (Arbeitsgruppe Prof. Dr. Friedrich Götze)
Mitglied der SFBs 701 Spektrale Strukturen und Topologische Methoden in der Mathematik (Projekt A4) sowie 1283 Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications (Projekte A4 & B5)
10/2013 – 02/2016: Promotion an der Universität Bielefeld
Dissertation Second Order Concentration for Functions of Independent Random Variables (Betreuer: Prof. Dr. Friedrich Götze)
Mitglied des SFBs 701 Spektrale Strukturen und Topologische Methoden in der Mathematik (Projekt A4)
10/2006 – 07/2013: Studium der Mathematik an der Universität Bielefeld
Diplomarbeit Das Brown’sche Karussell und der Limesprozess des Gauß’schen Beta-Ensembles (Betreuer: Prof. Dr. Friedrich Götze)

Publikationen und Preprints

Sambale, H., Thäle, C., and Trauthwein, T.: Central limit theorems for the nearest neighbour embracing graph in Euclidean and hyperbolic space, arXiv:2411.00748.
arXiv

Götze, F., and Sambale, H.: Concentration of measure on spheres and related manifolds, arXiv:2408.04346.
arXiv

Buterus, P., and Sambale, H.: Some notes on moment inequalities for heavy-tailed distributions, arXiv:2308.14410, to be published in High Dimensional Probability X.
arXiv

Götze, F., and Sambale, H.: Higher order concentration on Stiefel and Grassmann manifolds, Electron. J. Probab. 28 (2023), no. 79, 30 pp.
Journal, arXiv

Heerten, N., Sambale, H., and Thäle, C.: Probabilistic limit theorems induced by the zeros of polynomials, Math. Nachrichten 26(5) (2024), 1772–1792.
Journal, arXiv

Kaufmann, T., Sambale, H., and Thäle, C.: Large deviations for uniform projections of p-radial distributions on ℓ^n_p-balls, Probab. Math. Stat. 42(2) (2022), 303–317.
Journal, arXiv

Jalowy, J., Löwe, M., and Sambale, H.: Fluctuations of the magnetization in the Block Potts Model, J. Stat. Phys. 187(1) (2022), no. 3, 24 pp.
Journal, arXiv

Sambale, H., and Sinulis, A.: Concentration inequalities on the multislice and for sampling without replacement, J. Theor. Probab. 35(4) (2022), 2712–2737.
Journal, arXiv

Knöpfel, H., Löwe, M., and Sambale, H.: Large deviations, a phase transition, and logarithmic Sobolev inequalities in the block spin Potts model, Electron. Commun. Probab. 26 (2021), no. 29, 14 pp.
Journal, arXiv

Gusakova, A., Sambale, H., and Thäle, C.: Concentration on Poisson spaces via modified Φ-Sobolev inequalities, Stoch. Proc. Appl. 140 (2021), 216–235.
Journal, arXiv

Sambale, H.: Some notes on concentration for α-subexponential random variables, High Dimensional Probability IX, Eds. R. Adamczak, N. Gozlan, K. Lounici and M. Madiman, Birkhäuser, Springer, Progress in Probability 80 (2023), pp. 167–192.
Book chapter, arXiv

Sambale, H., and Sinulis, A.: Modified log-Sobolev inequalities and two-level concentration, ALEA, Lat. Am. J. Probab. Math. Stat. 18 (2021), 855–885.
Journal, arXiv

Götze, F., Sambale, H., and Sinulis, A.: Concentration inequalities for polynomials in α-sub-exponential random variables, Electron. J. Probab. 26 (2021), no. 48, 22 pp.
Journal, arXiv

Götze, F., Sambale, H., and Sinulis, A.: Concentration inequalities for bounded functionals via log-Sobolev-type inequalities, J. Theor. Probab. 34 (2021), 1623–1652.
Journal, arXiv

Sambale, H., and Sinulis, A.: Logarithmic Sobolev inequalities for finite spin systems and applications, Bernoulli 26(3) (2020), 1863–1890.
Journal, arXiv

Götze, F., Sambale, H., and Sinulis, A.: Higher order concentration for functions of weakly dependent random variables, Electron. J. Probab. 24 (2019), no. 85, 19 pp.
Journal, arXiv

Götze, F., and Sambale, H.: Higher order concentration in presence of Poincaré-type inequalities, High Dimensional Probability VIII, Eds. N. Gozlan, R. Latała, K. Lounici and M. Madiman, Birkhäuser, Springer, Progress in Probability 74 (2019), pp. 55–69.
Book chapter, arXiv

Bobkov, S. G., Götze, F., and Sambale, H.: Higher order concentration of measure, Commun. Contemp. Math. 21(3) (2019), Article 1850043, 36 pp.
Journal, arXiv

Götze, F., and Sambale, H.: Second order concentration via logarithmic Sobolev inequalities, Bernoulli 26(1) (2020), 93–126.
Journal, arXiv