Selected Publications
The complete list of publications by members of the research group Probability Theory can be found via RIS.
Martin Kolb (by Chronology):
- Pinske, Julien; Ares, Laura; Hinrichs, Benjamin; Kolb, Martin, Sperling, Jan: Separability Lindblad equation for dynamical open-system entanglement, arXiv:2412.08724
- Pinske, Julien; Ares, Laura; Hinrichs, Benjamin; Kolb, Martin, Sperling, Jan: Restricted Monte Carlo wave function method and Lindblad equation for identifying entangling open-quantum-system dynamics, arXiv:2412.08735
- Aurzada, Frank; Kolb, Martin; Schickentanz, Dominic T.: Brownian motion conditioned to spend limited time outside a bounded interval – an extreme example of entropic repulsion, Bernoulli 31 (2025): 1428-1450
- Klump, Alexander; Kolb, Martin: An elementary approach to the inverse first-passage-time problem for soft-killed Brownian motion. Journal of Applied Probability 61 (2024), 279-300
- Klump, Alexander; Kolb, Martin: Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary, Theory of Probability and Its Applications 67 (2022) 717–744.
- Kolb, Martin; Liesenfeld, Matthias: On non-extinction in a Fleming-Viot type particle model with Bessel drift, Electronic Journal of Probability 27: 1-28 (2022)
- Denisov, Denis; Hinrichs, Günter; Kolb, Martin; Wachtel, Vitali: Persistence of autoregessive processes with logarithmic tails, Electronic Journal of Probability 27 (2022) 1–43.
- Kolb, Martin; Weich,Tobias; Wolf, Lasse: Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature, Annales Henri Poincaré (2021), 23(4), pp. 1283-1296
- Haddenhorst, Björn; Hüllermeier, Eyke; Kolb, Martin: Generalized Transitivity: A systematic conparison of concepts with application to preferences in the Babbington Smith model, International Journal of Approximate Reasoning 119 (2020) 373–407.
- Kolb, Martin; Liesenfeld, Matthias: Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems, Annales Henri Poincaré 20, 1753–1783 (2019)
- Wang, Andi Q.; Kolb Martin; Gareth O. Roberts, Steinsaltz David: Theoretical properties of quasi-stationary Monte Carlo methods, Annals of Applied Probability 29(1): 434-457 (2019)
- Boßmann, Lea; Grummt, Robert; Kolb, Martin: On the dipole approximation with error estimates, Letters in Mathematical Physics 108, pages185–193 (2018)
- Kolb, Martin; Savov, Mladen: Transience and recurrence of a Brownian path with limited local time, Annals of Probability 44 (2016)
- (Non-)Ergodicity of a Degenerate Diffusion Modeling the Fiber Lay Down Process
- Kolb, Martin; Savov, Mladen; Wübker, Achim: (Non-)Ergodicity of Degenerate Diffusion Modeling The Fiber Lay Down Process, SIAM Journal on Mathematical Analysis 2013 45:1, 1-13
- M. Kolb, D. Steinsaltz, Quasilimiting behavior for one-dimensional diffusions with killing, Annals of Probability 40 (2012) 162–212.
- R. Grummt, M. Kolb, Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds, Journal of Mathematical Analysis and Applications 388 (2012) 480–489
- A. Bassi, D. Dürr, M. Kolb, On the long time behavior of free stochastic Schrödinger evolutions, Reviews in Mathematical Physics 22 (2009) 55–89.
Martin Kolb (by subject):
Theoretical Probability:
- Aurzada, Frank; Kolb, Martin; Schickentanz, Dominic T.: Brownian motion conditioned to spend limited time outside a bounded interval – an extreme example of entropic repulsion, Bernoulli 31 (2025): 1428-1450
- Klump, Alexander; Kolb, Martin: An elementary approach to the inverse first-passage-time problem for soft-killed Brownian motion. Journal of Applied Probability 61 (2024), 279-300
- Klump, Alexander; Kolb, Martin: Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary, Theory of Probability and Its Applications 67 (2022) 717–744.
- Kolb, Martin; Liesenfeld, Matthias: On non-extinction in a Fleming-Viot type particle model with Bessel drift, Electronic Journal of Probability 27: 1-28 (2022)
- Denisov, Denis; Hinrichs, Günter; Kolb, Martin; Wachtel, Vitali: Persistence of autoregessive processes with logarithmic tails, Electronic Journal of Probability 27 (2022) 1–43.
- Kolb, Martin; Weich,Tobias; Wolf, Lasse: Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature, Annales Henri Poincaré (2021), 23(4), pp. 1283-1296
- Kolb, Martin; Savov, Mladen: Transience and recurrence of a Brownian path with limited local time, Annals of Probability 44 (2016)
- Kolb, Martin; Savov, Mladen; Wübker, Achim: (Non-)Ergodicity of Degenerate Diffusion Modeling The Fiber Lay Down Process, SIAM Journal on Mathematical Analysis 2013 45:1, 1-13
- M. Kolb, D. Steinsaltz, Quasilimiting behavior for one-dimensional diffusions with killing, Annals of Probability 40 (2012) 162–212.
Applied Probability:
- Pinske, Julien; Ares, Laura; Hinrichs, Benjamin; Kolb, Martin, Sperling, Jan: Separability Lindblad equation for dynamical open-system entanglement, arXiv:2412.08724
- Pinske, Julien; Ares, Laura; Hinrichs, Benjamin; Kolb, Martin, Sperling, Jan: Restricted Monte Carlo wave function method and Lindblad equation for identifying entangling open-quantum-system dynamics, arXiv:2412.08735
- Haddenhorst, Björn; Hüllermeier, Eyke; Kolb, Martin: Generalized Transitivity: A systematic conparison of concepts with application to preferences in the Babbington Smith model, International Journal of Approximate Reasoning 119 (2020) 373–407
- Kolb, Martin; Liesenfeld, Matthias: Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems, Annales Henri Poincaré 20 (2019) 1753–1783
- Wang Andi; Kolb, Martin; Roberts Gareth; Steinsaltz, David, Theoretical Properties of quasistationary Monte Carlo methods, The Annals of Applied Probability 29 (2019)
- Steinsaltz, David, Mohan, Gurjinder and Kolb, Martin: Markov models of aging: theory and practice. Experimental Gerontology 47 (10) (2012) 792-802
- Dürr, Detlef, Hinrichs, Günter & Kolb, Martin: On a Stochastic Trotter Formula with Application to Spontaneous Localization Models. Journal of Statistical Physics 143 (2011) 1096–1119
- A. Bassi, D. Dürr, M. Kolb, On the long time behavior of free stochastic Schrödinger evolutions, Reviews in Mathematical Physics 22 (2009) 55–89.
Thomas Richthammer:
- Philipp König, Thomas Richthammer, Monotonicity properties for Bernoulli percolation on layered graphs— A Markov chain approach,
Stochastic Processes and their Applications 181, 2025 - Richthammer; Thomas, Fiedler; Michael, A lower bound on the displacement of particles in 2D Gibbsian particle systems, Stochastic Processes and Their Applications 132 (2021) 1–32.
- Richthammer, Thomas: Lower bound on the mean square displacement of particles in the hard disk model, Communications in Mathematical Physics 345 (2016)
Jonas Jalowy:
- Zeros and exponential profiles of polynomials II: Examples (2025)
joint work with Zakhar Kabluchko, Alexander Marynych
[arXiv Preprint] - Box-Covariances of Hyperuniform Point Processes (2025)
joint with Hanna Stange
[arXiv Preprint] - Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation (2025)
joint work with Zakhar Kabluchko, Alexander Marynych
[arXiv Preprint] - Propagation of chaos and residual dependence in Gibbs measures on finite sets (2024)
joint work with Zakhar Kabluchko, Matthias Löwe
[arXiv Preprint] - Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators (2023)
joint work with Brian C. Hall, Ching-Wei Ho, Zakhar Kabluchko
[arXiv Preprint] - Zeros of random polynomials undergoing the heat flow (2023)
joint work with Brian C. Hall, Ching-Wei Ho, Zakhar Kabluchko
[arXiv Preprint] - When does the chaos in the Curie-Weiss model stop to propagate? (2023)
joint work with Zakhar Kabluchko, Matthias Löwe, Alexander Marynych
in Electronic Journal of Probability
[arXiv Preprint] - Optimal transport of stationary point processes: Metric structure, gradient flow and convexity of the specific entropy (2023)
joint work with Matthias Erbar, Martin Huesmann, Bastian Müller
[arXiv Preprint] - The heat flow, GAF, and SL(2;R) (2023)
joint work with Brian Hall, Ching-Wei Ho, Zakhar Kabluchko:
to appear in Indiana University Mathematics Journal
[arXiv Preprint] - The Wasserstein distance to the Circular Law (2021)
in Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
[arXiv Preprint, Video] - Fluctuations of the magnetization in the Block Potts Model (2021)
joint work with Matthias Löwe, Holger Sambale
in Journal of Statistical Physics
[arXiv Preprint, Video] - Reconstructing a (recurrent) random environment from a single trajectory of Random Walk in Random Environment with errors (2021)
joint work with Matthias Löwe
in Electronic Communications in Probability
[arXiv Preprint] - Rate of convergence for products of independent non-Hermitian random matrices (2019)
in Electronic Journal of Probability
[arXiv Preprint] - Rate of convergence to the Circular Law via smoothing inequalities for log-potentials (2018)
joint work with Friedrich Götze
in Random Matrices: Theory and Applications
[arXiv Preprint]
Rate of convergence for non-Hermitian random matrices and their products (2020)
PhD Thesis Universität Bielefeld