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24 Publications


2022 | Journal Article | LibreCat-ID: 35644
M. Kolb and A. Klump, “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary,” Theory of Probability and its Applications, vol. 67, no. 4, pp. 717–744, 2022.
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2022 | Journal Article | LibreCat-ID: 35649
M. Kolb and M. Liesenfeld, “On non-extinction in a Fleming-Viot-type particle model with Bessel drift,” Electronic Journal of Probability, no. 27, pp. 1–28, 2022, doi: https://doi.org/10.1214/22-EJP866.
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2022 | Journal Article | LibreCat-ID: 35650
D. Denisov, G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of autoregressive sequences with logarithmic tails,” Electronic Journal of Probability, vol. 27, pp. 1–43, 2022, doi: https://doi.org/10.48550/arXiv.2203.14772.
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2021 | Journal Article | LibreCat-ID: 33278 | OA
M. Kolb, T. Weich, and L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature,” Annales Henri Poincaré , vol. 23, no. 4, pp. 1283–1296, 2021.
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2021 | Journal Article | LibreCat-ID: 33481
T. Richthammer and M. Fiedler, “A lower bound on the displacement of particles in 2D Gibbsian particle systems,” Stochastic Processes and their Applications, vol. 132, pp. 1–32, 2021, doi: https://doi.org/10.1016/j.spa.2020.10.003.
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2020 | Journal Article | LibreCat-ID: 33282
M. Kolb and M. Savov, “A Characterization of the Finiteness of Perpetual Integrals of Levy Processes,” Bernoulli, vol. 26, no. 2, pp. 1453–1472, 2020, doi: https://doi.org/10.48550/arXiv.1903.03792.
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2020 | Journal Article | LibreCat-ID: 33330
B. Haddenhorst, E. Hüllermeier, and M. Kolb, “Generalized transitivity: A systematic comparison of concepts with an application to preferences in the Babington Smith model,” International Journal of Approximate Reasoning, vol. 119, no. 2, pp. 373–407, 2020, doi: https://doi.org/10.1016/j.ijar.2020.01.007.
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2019 | Journal Article | LibreCat-ID: 33331
M. Kolb and M. Liesenfeld, “Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems,” Annales Henri Poincaré, vol. 20, no. 6, pp. 1753–1783, 2019, doi: http://dx.doi.org/10.1007/s00023-019-00772-9.
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2019 | Journal Article | LibreCat-ID: 33333
A. Q. Wang, M. Kolb, G. O. Roberts, and D. Steinsaltz, “Theoretical properties of quasi-stationary Monte Carlo methods,” The Annals of Applied Probability, vol. 29, no. 1, 2019, doi: http://dx.doi.org/10.1214/18-AAP1422.
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2019 | Journal Article | LibreCat-ID: 33334
A. Hening and M. Kolb, “Quasistationary distributions for one-dimensional diffusions with two singular boundary points,” Stochastic Processes and their Applications, vol. 129, no. 5, pp. 1659–1696, 2019, doi: http://dx.doi.org/10.1016/j.spa.2018.05.012.
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2018 | Journal Article | LibreCat-ID: 33335
G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of one-dimensional AR(1)-processes,” Journal of Theoretical Probability, vol. 33, pp. 65–102, 2018, doi: https://link.springer.com/article/10.1007/s10959-018-0850-0.
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2017 | Journal Article | LibreCat-ID: 33336
L. Boßmann, R. Grummt, and M. Kolb, “On the dipole approximation with error estimates,” Letters in Mathematical Physics, vol. 108, pp. 185–193, 2017, doi: https://link.springer.com/article/10.1007/s11005-017-0999-y.
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2017 | Journal Article | LibreCat-ID: 33342
M. Savov and M. Kolb, “Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case,” Electronic Journal of Probability, vol. 22, 2017, doi: https://doi.org/10.1214/17-EJP4468.
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2016 | Journal Article | LibreCat-ID: 33343
M. Kolb and D. Krejčiřík, “Spectral analysis of the diffusion operator with random jumps from the boundary,” Mathematische Zeitschrift, vol. 284, pp. 877–900, 2016, doi: https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf.
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2016 | Journal Article | LibreCat-ID: 33344
T. Richthammer, “Lower Bound on the Mean Square Displacement of Particles in the Hard Disk Model,” Communications in Mathematical Physics , vol. 345, pp. 1077–1099, 2016, doi: https://link.springer.com/article/10.1007/s00220-016-2584-0.
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2016 | Journal Article | LibreCat-ID: 33357
M. Kolb and M. Savov, “Transience and recurrence of a Brownian path with limited local time,” The Annals of Probability, vol. 44, no. 6, 2016, doi: http://dx.doi.org/10.1214/15-AOP1069.
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2015 | Journal Article | LibreCat-ID: 33359
T. Richthammer and M. Biskup, “Gibbs measures on permutations over one-dimensional discrete point sets,” Communications in Mathematical Physics, vol. 25, no. 2, pp. 898–929, 2015, doi: https://doi.org/10.48550/arXiv.1310.0248.
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2015 | Journal Article | LibreCat-ID: 33358
M. Kolb, W. Stadje, and A. Wübker, “The rate of convergence to stationarity for M/G/1 models with admission controls via coupling,” Stochastic Models, vol. 32, no. 1, pp. 121–135, 2015, doi: http://dx.doi.org/10.1080/15326349.2015.1090322.
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2015 | Journal Article | LibreCat-ID: 33360
M. Kolb, D. Denisov, and V. Wachtel, “Local asymptotics for the area of random walk excursions,” Journal of the London Mathematical Society, vol. 91, no. 2, pp. 495–513, 2015.
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2014 | Journal Article | LibreCat-ID: 33361
M. Kolb and M. Savov, “Exponential ergodicity of killed Lévy processes in a finite interval,” Electronic Communications in Probability, vol. 19, no. 31, pp. 1–9, 2014, doi: http://dx.doi.org/10.1214/ECP.v19-3006.
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