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Rotor walk is a deterministic analogue of random walk. We study its recurrence and transience properties on Zd for the initial configuration of all rotors aligned. If n particles in turn perform rotor...
Escape, collisions and regularization in the variational approach to the N-body problem
Escape collisions regularization variational approach N-body problem
2015/3/18
Escape, collisions and regularization in the variational approach to the N-body problem.
Entropy, Lyapunov Exponents and Escape Rates in Open Systems
Lyapunov Exponents Escape Rates Open Systems Dynamical Systems
2011/9/5
Abstract: We study the relation between escape rates and pressure in general dynamical systems with holes, where pressure is defined to be the difference between entropy and the sum of positive Lyapun...
Correlations and pair emission in the escape dynamics of ions from one-dimensional traps
Correlations pair emission escape dynamics of ions one-dimensional traps
2010/12/28
We explore the non-equilibrium escape dynamics of long-range interacting ions in one-dimensional traps. The phase space of the few ion setup and its impact on the escape properties are studied.
A maximin characterization of the escape rate of nonexpansive mappings in metrically convex spaces
maximin characterization escape rate of nonexpansive mappings
2011/2/24
We establish a maximin characterization of the linear escape rate of the orbits
of a nonexpansive mapping on a complete (hemi-)metric space, under a mild form
of Busemann’s nonpositive curvature con...
Spectral degeneracy and escape dynamics for intermittent maps with a hole
Escape rate Pomeau-Manneville maps Perron-Frobenius operators
2011/1/20
We study intermittent maps from the point of view of metastability. Small neighbourhoods of an intermittent fixed point and their complements form pairs of almost-invariant sets.
Escape from the potential well: competition between long jumps and long waiting times
potential well competition between long jumps long waiting times
2010/12/15
Within a concept of the fractional diffusion equation and subordination, the paper examines the
influence of a competition between long waiting times and long jumps on the escape from the poten-tial ...
In this paper we study the asymptotic behaviour of the escape rate of a Gibbs measure supported on a conformal repeller through a small hole. There are additional applications to the convergence of Ha...
We describe here a new concept of one group chasing another, called "group chase and escape", by presenting a simple model. We will show that even a simple model can demonstrate rather rich and comple...
WELCOME TO ESCAPE 2007 Hangzhou，China - April 7-9，2007
中国运筹学会 Combinatorics Algorithms Probabilistic Experimental methodologies
2006/8/28
With the Internet, bio-technology, video digital data processing, as well as global geometric data applications, the enormous dataset size has been pushing our limits in data processing. Both theoreti...