Edit Profile (opens in new tab) Kolb, Martin Co-Author Distance Author ID: kolb.martin Published as: Kolb, Martin; Kolb, M. Documents Indexed: 37 Publications since 1996, including 1 Book and 4 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 27 Co-Authors with 36 Joint Publications 588 Co-Co-Authors all top 5 Co-Authors 2 single-authored 7 Savov, Mladen Svetoslavov 5 Dürr, Detlef 5 Wübker, Achim 4 Grummt, Robert 4 Wachtel, Vitali I. 3 Hinrichs, Günter 3 Krejčiřík, David 2 Aurzada, Frank 2 Denisov, Denis E. 2 Klump, Alexander 2 Liesenfeld, Matthias 2 Steinsaltz, David R. 2 Weich, Tobias 2 Wolf, Lasse Lennart 1 Bassi, Angelo 1 Boßmann, Lea 1 Froemel, Anne 1 Haddenhorst, Björn 1 Hening, Alexandru 1 Hullermeier, Eyke 1 Moser, Tilo 1 Pène, Françoise 1 Roberts, Gareth O. 1 Römer, Sarah 1 Schickentanz, Dominic T. 1 Stadje, Wolfgang 1 Wang, Andi Q. all top 5 Serials 4 Electronic Journal of Probability 2 Letters in Mathematical Physics 2 The Annals of Probability 2 Mathematische Zeitschrift 2 Stochastic Processes and their Applications 2 Annales Henri Poincaré 1 European Journal of Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Reviews in Mathematical Physics 1 Theory of Probability and its Applications 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 International Journal of Approximate Reasoning 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 SIAM Journal on Mathematical Analysis 1 Fractals 1 Electronic Communications in Probability 1 Bernoulli 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Stochastic Models 1 Oberwolfach Reports 1 Journal of Spectral Theory all top 5 Fields 28 Probability theory and stochastic processes (60-XX) 9 Partial differential equations (35-XX) 7 Operator theory (47-XX) 7 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 131 times in 107 Documents Cited by ▼ Year ▼ Quasilimiting behavior for one-dimensional diffusions with killing. Zbl 1278.60121 Kolb, Martin; Steinsaltz, David 27 2012 Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds. Zbl 1235.58027 Grummt, Robert; Kolb, Martin 15 2012 Quasistationary distributions for one-dimensional diffusions with singular boundary points. Zbl 1435.60055 Hening, Alexandru; Kolb, Martin 13 2019 The Brownian traveller on manifolds. Zbl 1297.35253 Kolb, Martin; Krejčiřík, David 8 2014 Local asymptotics for the area of random walk excursions. Zbl 1316.60063 Denisov, Denis; Kolb, Martin; Wachtel, Vitali 8 2015 Spectral analysis of diffusions with jump boundary. Zbl 1229.60093 Kolb, Martin; Wübker, Achim 7 2011 Transience and recurrence of a Brownian path with limited local time. Zbl 1364.60095 Kolb, Martin; Savov, Mladen 6 2016 On the spectral gap of Brownian motion with jump boundary. Zbl 1234.60083 Kolb, Martin; Wübker, Achim 5 2011 (Non-)Ergodicity of a degenerate diffusion modeling the fiber lay down process. Zbl 1275.60059 Kolb, Martin; Savov, Mladen; Wübker, Achim 5 2013 Persistence of one-dimensional AR(1)-sequences. Zbl 1431.60070 Hinrichs, Günter; Kolb, Martin; Wachtel, Vitali 5 2020 On the long time behavior of free stochastic Schrödinger evolutions. Zbl 1187.82093 Bassi, Angelo; Dürr, Detlef; Kolb, Martin 4 2010 Spectral analysis of the diffusion operator with random jumps from the boundary. Zbl 1352.60096 Kolb, Martin; Krejčiřík, David 4 2016 Theoretical properties of quasi-stationary Monte Carlo methods. Zbl 1408.60072 Wang, Andi Q.; Kolb, Martin; Roberts, Gareth O.; Steinsaltz, David 4 2019 A characterization of the finiteness of perpetual integrals of Lévy processes. Zbl 1466.60096 Kolb, Martin; Savov, Mladen 4 2020 Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case. Zbl 1359.60062 Kolb, Martin; Savov, Mladen 3 2017 On the time-dependent analysis of Gamow decay. Zbl 1264.81302 Dürr, Detlef; Grummt, Robert; Kolb, Martin 3 2011 On the strong uniqueness of some finite dimensional Dirichlet operators. Zbl 1157.47031 Kolb, Martin 2 2008 Uniqueness of the inverse first-passage time problem and the shape of the Shiryaev boundary. Zbl 1507.60053 Klump, A.; Kolb, M. 2 2023 On a stochastic Trotter formula with application to spontaneous localization models. Zbl 1226.82050 Dürr, Detlef; Hinrichs, Günter; Kolb, Martin 1 2011 Stochastic spikes and Poisson approximation of one-dimensional stochastic differential equations with applications to continuously measured quantum systems. Zbl 1483.60082 Kolb, Martin; Liesenfeld, Matthias 1 2019 Correction to: “Spectral analysis of the diffusion operator with random jumps from the boundary”. Zbl 1440.60060 Kolb, Martin; Krejčiřík, David 1 2020 Persistence of autoregressive sequences with logarithmic tails. Zbl 1515.60128 Denisov, Denis; Hinrichs, Günter; Kolb, Martin; Wachtel, Vitali 1 2022 Generalized transitivity: a systematic comparison of concepts with an application to preferences in the Babington Smith model. Zbl 1443.91123 Haddenhorst, Björn; Hüllermeier, Eyke; Kolb, Martin 1 2020 Law of large numbers for super-Brownian motions with a single point source. Zbl 1268.60106 Grummt, Robert; Kolb, Martin 1 2013 Uniqueness of the inverse first-passage time problem and the shape of the Shiryaev boundary. Zbl 1507.60053 Klump, A.; Kolb, M. 2 2023 Persistence of autoregressive sequences with logarithmic tails. Zbl 1515.60128 Denisov, Denis; Hinrichs, Günter; Kolb, Martin; Wachtel, Vitali 1 2022 Persistence of one-dimensional AR(1)-sequences. Zbl 1431.60070 Hinrichs, Günter; Kolb, Martin; Wachtel, Vitali 5 2020 A characterization of the finiteness of perpetual integrals of Lévy processes. Zbl 1466.60096 Kolb, Martin; Savov, Mladen 4 2020 Correction to: “Spectral analysis of the diffusion operator with random jumps from the boundary”. Zbl 1440.60060 Kolb, Martin; Krejčiřík, David 1 2020 Generalized transitivity: a systematic comparison of concepts with an application to preferences in the Babington Smith model. Zbl 1443.91123 Haddenhorst, Björn; Hüllermeier, Eyke; Kolb, Martin 1 2020 Quasistationary distributions for one-dimensional diffusions with singular boundary points. Zbl 1435.60055 Hening, Alexandru; Kolb, Martin 13 2019 Theoretical properties of quasi-stationary Monte Carlo methods. Zbl 1408.60072 Wang, Andi Q.; Kolb, Martin; Roberts, Gareth O.; Steinsaltz, David 4 2019 Stochastic spikes and Poisson approximation of one-dimensional stochastic differential equations with applications to continuously measured quantum systems. Zbl 1483.60082 Kolb, Martin; Liesenfeld, Matthias 1 2019 Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case. Zbl 1359.60062 Kolb, Martin; Savov, Mladen 3 2017 Transience and recurrence of a Brownian path with limited local time. Zbl 1364.60095 Kolb, Martin; Savov, Mladen 6 2016 Spectral analysis of the diffusion operator with random jumps from the boundary. Zbl 1352.60096 Kolb, Martin; Krejčiřík, David 4 2016 Local asymptotics for the area of random walk excursions. Zbl 1316.60063 Denisov, Denis; Kolb, Martin; Wachtel, Vitali 8 2015 The Brownian traveller on manifolds. Zbl 1297.35253 Kolb, Martin; Krejčiřík, David 8 2014 (Non-)Ergodicity of a degenerate diffusion modeling the fiber lay down process. Zbl 1275.60059 Kolb, Martin; Savov, Mladen; Wübker, Achim 5 2013 Law of large numbers for super-Brownian motions with a single point source. Zbl 1268.60106 Grummt, Robert; Kolb, Martin 1 2013 Quasilimiting behavior for one-dimensional diffusions with killing. Zbl 1278.60121 Kolb, Martin; Steinsaltz, David 27 2012 Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds. Zbl 1235.58027 Grummt, Robert; Kolb, Martin 15 2012 Spectral analysis of diffusions with jump boundary. Zbl 1229.60093 Kolb, Martin; Wübker, Achim 7 2011 On the spectral gap of Brownian motion with jump boundary. Zbl 1234.60083 Kolb, Martin; Wübker, Achim 5 2011 On the time-dependent analysis of Gamow decay. Zbl 1264.81302 Dürr, Detlef; Grummt, Robert; Kolb, Martin 3 2011 On a stochastic Trotter formula with application to spontaneous localization models. Zbl 1226.82050 Dürr, Detlef; Hinrichs, Günter; Kolb, Martin 1 2011 On the long time behavior of free stochastic Schrödinger evolutions. Zbl 1187.82093 Bassi, Angelo; Dürr, Detlef; Kolb, Martin 4 2010 On the strong uniqueness of some finite dimensional Dirichlet operators. Zbl 1157.47031 Kolb, Martin 2 2008 all cited Publications top 5 cited Publications all top 5 Cited by 157 Authors 9 Kolb, Martin 9 Villemonais, Denis 8 Milatovic, Ognjen 7 Champagnat, Nicolas 6 Krejčiřík, David 6 Zhang, Hanjun 5 Güneysu, Batu 4 Aurzada, Frank 3 Carmona, Philippe 3 Denisov, Denis E. 3 Foss, Sergey G. 3 Hening, Alexandru 3 Lotoreichik, Vladimir 3 Mazzolo, Alain 3 Monthus, Cécile 3 Pétrélis, Nicolas 3 Roberts, Gareth O. 3 Sakhanenko, Aleksandr Ivanovich 3 Steinsaltz, David R. 3 Wachtel, Vitali I. 3 Wang, Andi Q. 2 Ballesteros, Miguel 2 Chen, Anyue 2 Fraas, Martin 2 Fröhlich, Jürg Martin 2 He, Guoman 2 Hinz, Michael 2 Klump, Alexander 2 Lampart, Jonas 2 Li, Huasheng 2 Liao, Saixia 2 Marheineke, Nicole 2 Méléard, Sylvie 2 Ng, Kai Wang 2 Oçafrain, William 2 Peng, Jun 2 Qi, Weiwei 2 Saratchandran, Hemanth 2 Truc, Françoise 2 Wegener, Raimund 2 Yan, Jun 2 Yi, Yingfei 2 Zhou, Xiaowen 1 Albeverio, Sergio A. 1 Alsmeyer, Gerold 1 Atia, Hany A. 1 Bansaye, Vincent 1 Barker, Adam 1 Bassi, Angelo 1 Benaïm, Michel 1 Bengs, Viktor 1 Benoist, Tristan 1 Bernardin, Cédric 1 Bertoin, Jean 1 Bhattacharya, Ayan 1 Bianchi, Davide 1 Bostan, Alin 1 Bouin, Emeric 1 Briet, Philippe 1 Busa-Fekete, Róbert 1 Cazacu, Cristian M. 1 Çetin, Umut 1 Chetrite, Raphaël 1 Chhaïbi, Réda 1 Collet, Pierre 1 Coulibaly-Pasquier, Koléhè Abdoulaye 1 Crawford, Nicholas 1 Dauge, Monique 1 de la Madrid, Rafael 1 Ding, Jian 1 Dürr, Detlef 1 Eckhoff, Maren 1 El Mesaoudi-Paul, Adil 1 Emam, Hala H. 1 Evans, Martin R. 1 Fukushima, Ryoki 1 Gramsch, Simone 1 Groisman, Pablo 1 Grothaus, Martin 1 Grummt, Robert 1 Guillin, Arnaud 1 Haag, Stefan 1 Hammedi, Hiba 1 Hinrichs, Günter 1 Hoffmann, Franca 1 Hullermeier, Eyke 1 Jex, Michal 1 Ji, Min 1 Jonckheere, Matthieu 1 Kettner, Marvin 1 Klar, Axel 1 Kyprianou, Andreas E. 1 Lee, Haesung 1 Leugering, Günter 1 Li, Bo 1 Li, Peisen 1 Li, Wenbo V. 1 Li, Yao 1 Littin, Jorge C. 1 Lo, Chak Hei ...and 57 more Authors all top 5 Cited in 55 Serials 7 Stochastic Processes and their Applications 5 Journal of Applied Probability 5 The Annals of Applied Probability 5 Electronic Journal of Probability 5 Journal of Physics A: Mathematical and Theoretical 4 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Physics 3 Journal of Functional Analysis 3 Potential Analysis 3 Annales Henri Poincaré 2 Communications in Mathematical Physics 2 Journal of Mathematical Biology 2 The Annals of Probability 2 Journal of Differential Equations 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Probability Theory and Related Fields 2 Journal of Theoretical Probability 2 The Journal of Geometric Analysis 2 Electronic Communications in Probability 2 Journal of Statistical Mechanics: Theory and Experiment 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Science China. Mathematics 1 Advances in Applied Probability 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Stochastic Analysis and Applications 1 Annals of Global Analysis and Geometry 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Bernoulli 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Methodology and Computing in Applied Probability 1 Journal of Evolution Equations 1 Journal of Machine Learning Research (JMLR) 1 Hacettepe Journal of Mathematics and Statistics 1 Oberwolfach Reports 1 Frontiers of Mathematics in China 1 Probability Surveys 1 Journal of Mathematics in Industry 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 28 Fields 67 Probability theory and stochastic processes (60-XX) 26 Partial differential equations (35-XX) 25 Operator theory (47-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Statistical mechanics, structure of matter (82-XX) 12 Quantum theory (81-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 4 Differential geometry (53-XX) 4 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year