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pro vyhledávání: '"Bunimovich, L. A."'
Autor:
Bunimovich, L. A.
In standard (mathematical) billiards a point particle moves uniformly in a billiard table with elastic reflections off the boundary. We show that in transition from mathematical billiards to physical billiards, where a finite size hard sphere moves a
Externí odkaz:
http://arxiv.org/abs/1903.02634
One of the most important features observed in real networks is that, as a network's topology evolves so does the network's ability to perform various complex tasks. To explain this, it has also been observed that as a network grows certain subnetwor
Externí odkaz:
http://arxiv.org/abs/1712.01788
Akademický článek
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Autor:
Bunimovich, L. A., Webb, B. Z.
We present a general and flexible procedure which allows for the reduction (or expansion) of any dynamical network while preserving the spectrum of the network's adjacency matrix. Computationally, this process is simple and easily implemented for the
Externí odkaz:
http://arxiv.org/abs/1010.4272
Autor:
Bunimovich, L. A., Webb, B. Z.
In this paper we present a general procedure that allows for the reduction or expansion of any network (considered as a weighted graph). This procedure maintains the spectrum of the network's adjacency matrix up to a set of eigenvalues known beforeha
Externí odkaz:
http://arxiv.org/abs/1010.3272
Autor:
Bunimovich, L. A., Webb, B. Z.
Via the process of isospectral graph reduction the adjacency matrix of a graph can be reduced to a smaller matrix while its spectrum is preserved up to some known set. It is then possible to estimate the spectrum of the original matrix by considering
Externí odkaz:
http://arxiv.org/abs/0911.2453
Autor:
Bunimovich, L. A., Dettmann, C. P.
Publikováno v:
EPL 80 (2007) 40001
One or more small holes provide non-destructive windows to observe corresponding closed systems, for example by measuring long time escape rates of particles as a function of hole sizes and positions. To leading order the escape rate of chaotic syste
Externí odkaz:
http://arxiv.org/abs/nlin/0610013
Autor:
Bunimovich, L. A., Dettmann, C. P.
Publikováno v:
Phys. Rev. Lett. 94, 100201 (2005)
A comparison of escape rates from one and from two holes in an experimental container (e.g. a laser trap) can be used to obtain information about the dynamics inside the container. If this dynamics is simple enough one can hope to obtain exact formul
Externí odkaz:
http://arxiv.org/abs/nlin/0408009
We show that a signal can propagate in a particular direction through a model random medium regardless of the precise state of the medium. As a prototype, we consider a point particle moving on a one-dimensional lattice whose sites are occupied by sc
Externí odkaz:
http://arxiv.org/abs/cond-mat/9905168