Zobrazeno 1 - 10
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pro vyhledávání: '"RASMUSSEN, MARTIN"'
We consider invertible linear maps with additive spherical bounded noise. We show that minimal attractors of such random dynamical systems are unique, strictly convex and have a continuously differentiable boundary. Moreover, we present an auxiliary
Externí odkaz:
http://arxiv.org/abs/2310.03437
Autor:
Rasmussen, Martin Kaag1, Møllgård, Kjeld2, Bork, Peter A. R.1, Weikop, Pia1, Esmail, Tina1, Drici, Lylia3, Wewer Albrechtsen, Nicolai J.3,4, Carlsen, Jonathan Frederik5,6, Huynh, Nguyen P. T.7,8, Ghitani, Nima9, Mann, Matthias10,11, Goldman, Steven A.1,8,12, Yuki Mori1, Chesler, Alexander T.9,13, Nedergaard, Maiken7,14 nedergaard@sund.ku.dk
Publikováno v:
Science. 7/5/2024, Vol. 385 Issue 6704, p80-86. 7p. 4 Diagrams.
In this paper, we consider absorbing Markov chains $X_n$ admitting a quasi-stationary measure $\mu$ on $M$ where the transition kernel $\mathcal P$ admits an eigenfunction $0\leq \eta\in L^1(M,\mu)$. We find conditions on the transition densities of
Externí odkaz:
http://arxiv.org/abs/2209.01281
Autor:
Castro, Matheus M., Chemnitz, Dennis, Chu, Hugo, Engel, Maximilian, Lamb, Jeroen S. W., Rasmussen, Martin
We establish the existence of a full spectrum of Lyapunov exponents for memoryless random dynamical systems with absorption. To this end, we crucially embed the process conditioned to never being absorbed, the Q-process, into the framework of random
Externí odkaz:
http://arxiv.org/abs/2204.04129
Autor:
Moeller, Niels Christian, Oestergaard, Lars, Rasmussen, Martin Gillies Banke, Schmidt-Persson, Jesper, Larsen, Kristian Traberg, Juhl, Carsten Bogh
Publikováno v:
In Health and Place September 2024 89
Publikováno v:
In Stochastic Processes and their Applications July 2024 173
We establish the existence and uniqueness of quasi-stationary and quasi-ergodic measures for almost surely absorbed discrete-time Markov chains under weak conditions. We obtain our results by exploiting Banach lattice properties of transition functio
Externí odkaz:
http://arxiv.org/abs/2111.13791
Publikováno v:
SIAM Journal on Applied Dynamical Systems, 20(1) (2021), 500-540
An in-depth analysis of nonautonomous bifurcations of saddle-node type for scalar differential equations $x'=-x^2+q(t)\,x+p(t)$, where $q\colon\mathbb{R}\to\mathbb{R}$ and $p\colon\mathbb{R}\to\mathbb{R}$ are bounded and uniformly continuous, is fund
Externí odkaz:
http://arxiv.org/abs/2110.02608
Autor:
Sattari, Zahra, Nielsen, Søren Drud-Heydary, Che, Jing, Rasmussen, Martin Krøyer, Yue, Yuan, Purup, Stig, Poulsen, Nina Aagaard, Larsen, Lotte Bach
Publikováno v:
In Future Foods December 2024 10