Search Results - "RODRIGUES, CHRISTIAN S."
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1
Representation of Markov chains by random maps: existence and regularity conditions
Published in Calculus of variations and partial differential equations (01-11-2015)“…We systematically investigate the problem of representing Markov chains by families of random maps, and which regularity of these maps can be achieved…”
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2
Topological bifurcations of minimal invariant sets for set-valued dynamical systems
Published in Proceedings of the American Mathematical Society (01-09-2015)“…We discuss the dependence of set-valued dynamical systems on parameters. Under mild assumptions which are naturally satisfied for random dynamical systems with…”
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3
Diffusion in randomly perturbed dissipative dynamics
Published in Europhysics letters (01-11-2014)“…Dynamical systems having many coexisting attractors present interesting properties from both fundamental theoretical and modelling points of view. When such…”
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4
Random fluctuation leads to forbidden escape of particles
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-08-2010)“…A great number of physical processes are described within the context of Hamiltonian scattering. Previous studies have rather been focused on trajectories…”
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5
Escape from attracting sets in randomly perturbed systems
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-10-2010)“…The dynamics of escape from an attractive state due to random perturbations is of central interest to many areas in science. Previous studies of escape in…”
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6
Emerging attractors and the transition from dissipative to conservative dynamics
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-08-2009)“…The topological structure of basin boundaries plays a fundamental role in the sensitivity to the final state in chaotic dynamical systems. Herewith we present…”
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7
Geometric properties of disintegration of measures
Published 09-02-2022“…In this paper we study the connection between disintegration of measures and some geometric properties of probability spaces. We prove a disintegration…”
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8
On shadowing and Stochastic Stability
Published 13-05-2022“…In this paper, we study stochastic stability of a dynamical system with shadowing property, which evolves under small random perturbation. We prove that time…”
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9
Rigidity of Curvature Bounds of Quotient Spaces Of Isometric Actions
Published 23-10-2023“…Let $G\curvearrowright M$ be an isometric action of a Lie Group on a complete orientable Riemannian manifold. We disintegrate absolutely continuous measures…”
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10
On Differential and Riemannian Calculus on Wasserstein Spaces
Published 07-06-2024“…In this paper we develop an intrinsic formalism to study the topology, smooth structure, and Riemannian geometry of the Wasserstein space of a closed…”
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11
Representation of Markov chains by random maps: existence and regularity conditions
Published 16-03-2015“…Calculus of Variations and Partial Differential Equations 54, 2637-2655 (2015) We systematically investigate the problem of representing Markov chains by…”
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12
On the regular representation of measures
Published 10-10-2016“…Communications in Analysis and Geometry 27 (2019), 1799 - 1823 We give sufficient conditions for a parametrised family of probability measures on a Riemannian…”
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13
A family of rotation numbers for discrete random dynamics on the circle
Published 04-03-2015“…Stochastics and Dynamics Vol. 15 (2015) 1550021 We revisit the problem of well-defining rotation numbers for discrete random dynamical systems on the circle…”
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14
Topological bifurcations of minimal invariant sets for set-valued dynamical systems
Published 26-11-2013“…Proceedings of the American Mathematical Society 143 (2015) 3927-3937 We discuss the dependence of set-valued dynamical systems on parameters. Under mild…”
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15
Diffusion in randomly perturbed dissipative dynamics
Published 13-11-2014“…Europhys. Lett. 108, 40002 (2014) Dynamical systems having many coexisting attractors present interesting properties from both fundamental theoretical and…”
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16
Escape from attracting sets in randomly perturbed systems
Published 25-10-2010“…Phys. Rev. E 82, 046217 (2010) The dynamics of escape from an attractive state due to random perturbations is of central interest to many areas in science…”
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17
Random fluctuation leads to forbidden escape of particles
Published 30-08-2010“…Physical Review E 82, 026211 (2010) A great number of physical processes are described within the context of Hamiltonian scattering. Previous studies have…”
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18
Emerging attractors and the transition from dissipative to conservative dynamics
Published 17-07-2009“…Physical Review E 80, 026205 (2009) The topological structure of basin boundaries plays a fundamental role in the sensitivity to the initial conditions in…”
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