999 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Czech Academy of SciencesCZ67 papers
- Charles UniversityCZ39 papers
- Czech Technical University in PragueCZ33 papers
- Johannes Kepler University of LinzAT7 papers
- University of South Bohemia in České BudějoviceCZ6 papers
- University of WarwickGB6 papers
- V. N. Karazin Kharkiv National UniversityUA6 papers
- Federation UniversityAU5 papers
- Prague University of Economics and BusinessCZ5 papers
- Technical University of LiberecCZ5 papers
- Czech Academy of Sciences, Institute of ThermomechanicsCZ4 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE4 papers
20 papers · 1 filter
Weaves, webs and flows
Nic Freeman, Jan Swart
We introduce weaves, which are random sets of non-crossing càdlàg paths that cover space-time . The Brownian web is one example of…
Uniqueness of the nonlinear Schrödinger Equation driven by jump processes
Erika Hausenblas, Anne de Bouard, Martin Ondrejat
In a recent paper by the first two named authors, existence of martingale solutions to a stochastic nonlinear Schrödinger equation driven by a Lévy noise was proved. In this paper,…
A new characterization of endogeny
Tibor Mach, Anja Sturm, Jan M. Swart
Aldous and Bandyopadhyay have shown that each solution to a recursive distributional equation (RDE) gives rise to recursive tree process (RTP), which is a sort of Markov chain in w…
Necessary and sufficient conditions for a nonnegative matrix to be strongly R-positive
Jan M. Swart
Using the Perron-Frobenius eigenfunction and eigenvalue, each finite irreducible nonnegative matrix can be transformed into a probability kernel . This was generalized by Da…
-valued stochastic convolution integral driven by Volterra noise
Petr Čoupek, Bohdan Maslowski, Martin Ondreját
Space-time regularity of linear stochastic partial differential equations is studied. The solution is defined in the mild sense in the state space . The corresponding regulari…
Ergodic maximum principle for stochastic systems
Carlo Orrieri, Gianmario Tessitore, Petr Veverka
We present a version of the stochastic maximum principle (SMP) for ergodic control problems. In particular we give necessary (and sufficient) conditions for optimality for controll…
The limiting shape of a full mailbox
M. Formentin, J. M. Swart
We study a model for email communication due to Gabrielli and Caldarelli, where someone receives and answers emails at the times of independent Poisson processes with intensities $…
Pathwise duals of monotone and additive Markov processes
Anja Sturm, Jan M. Swart
This paper develops a systematic treatment of monotonicity-based pathwise dualities for Markov processes taking values in partially ordered sets. We show that every Markov process…
The Brownian web, the Brownian net, and their universality
Emmanuel Schertzer, Rongfeng Sun, Jan M. Swart
The Brownian web is a collection of one-dimensional coalescing Brownian motions starting from everywhere in space and time, and the Brownian net is a generalization that also allow…
Example of a Non-standard Extreme Value Law
Nicolai Haydn, Michal Kupsa
It has been shown that sufficiently well mixing dynamical systems with positive entropy have extreme value laws which in the limit converge to one of the three standard distributio…
Noninvadability implies noncoexistence for a class of cancellative systems
Jan M. Swart
There exist a number of results proving that for certain classes of interacting particle systems in population genetics, mutual invadability of types implies coexistence. In this p…
Weak characterizations of stochastic integrability and Dudley's theorem in infinite dimensions
Martin Ondrejat, Mark Veraar
In this paper we consider stochastic integration with respect to cylindrical Brownian motion in infinite dimensional spaces. We study weak characterizations of stochastic integrabi…
Systems of branching, annihilating, and coalescing particles
Siva Athreya, Jan Swart
This paper studies systems of particles following independent random walks and subject to annihilation, binary branching, coalescence, and deaths. In the case without annihilation,…
Subcritical contact processes seen from a typical infected site
Anja Sturm, Jan M. Swart
What is the long-time behavior of the law of a contact process started with a single infected site, distributed according to counting measure on the lattice? This question is relat…
Attractivity, invariance and ergodicity for SDEs on Riemannian manifolds
Lubomir Banas, Zdzislaw Brzezniak, Martin Ondrejat +1
We give a sufficient condition on nonlinearities of an SDE on a compact connected Riemannian manifold which implies that laws of all solutions converge weakly to the normalized…
Numerical analysis of the rebellious voter model
Jan M. Swart, Karel Vrbensky
The rebellious voter model, introduced by Sturm and Swart (2008), is a variation of the standard, one-dimensional voter model, in which types that are locally in the minority have…
Survival of contact processes on the hierarchical group
Siva R. Athreya, Jan M. Swart
We consider contact processes on the hierarchical group, where sites infect other sites at a rate depending on their hierarchical distance, and sites become healthy with a constant…
Special points of the Brownian net
Emmanuel Schertzer, Rongfeng Sun, Jan M. Swart
The Brownian net, which has recently been introduced by Sun and Swart [SS08], and independently by Newman, Ravishankar and Schertzer [NRS08], generalizes the Brownian web by allowi…
The contact process seen from a typical infected site
Jan M. Swart
This paper studies contact processes on general countable groups. It is shown that any such contact process has a well-defined exponential growth rate, and this quantity is used to…
Closures of exponential families
Imre Csiszar, Frantisek Matus
The variation distance closure of an exponential family with a convex set of canonical parameters is described, assuming no regularity conditions. The tools are the concepts of con…