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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convexity, Uniqueness, and Stability of the Regular Shock Reflection-diffraction Problem
规则冲击 反射衍射问题 凸性 唯一性 稳定性
2023/4/17
We will talk about our recent results on the convexity, uniqueness, and stability of regular reflection solutions for the potential flow equation in a natural class of self-similar solutions. The appr...
Relations between electron contentand peak density: regular and extreme behaviour
contentand electronic
2015/9/14
Electron content statistics offers important information for planning and operation of various application
systems that make use of the transionospheric propagation of radio signals. Electron content...
The Dynamics of Collapsing Monopoles and Regular Black Holes
A black hole thin shell magnetic monopoles dynamic static configuration high energy laser
2014/12/22
We study the formation and stability of regular black holes by employing a thin shell approximation to the dynamics of collapsing magnetic monopoles. The core deSitter region of the monopole is matche...
Regular $g$-measures are not always Gibbsian
Discrete-time stochastic processes g-measures chains with complete connections non-Gibbsianness chains with variable-length memory
2011/7/28
Abstract: Regular $g$-measures are discrete-time processes determined by conditional expectations with respect to the past. One-dimensional Gibbs measures, on the other hand, are fields determined by ...
On the space and time evolution of regular or irregular human heart or brain signals
regular or irregular human heart brain signals
2011/8/29
A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular di...
Fluctuations of Matrix Entries of Regular Functions of Sample Covariance Random Matrices
Matrix Entries Sample Covariance Random Matrices Probability
2011/7/27
Abstract: We extend the results about the fluctuations of the matrix entries of regular functions of Wigner matrices to the case of sample covariance random matrices.
The regular cosmic string in Born-Infeld gravity
The regular cosmic string Born-Infeld gravity
2010/12/27
It is shown that Born-Infeld gravity --a high energy deformation of Einstein gravity-- removes the singularities of a cosmic string. The respective vacuum solution results to be free of conical singul...
Gravitational lensing by a regular black hole
gravitational lensing black hole physics regular solutions
2010/12/20
In this paper, we study a regular Bardeen black hole as a gravitational lens. We find the strong deflection limit for the deflection angle, from which we obtain the positions and
magnifications of th...
It is shown that Born-Infeld gravity –a high energy deformation of Einstein gravity– removes
the singularities of a cosmic string. The respective vacuum solution results to be free of conical singula...
Regular hyperbolicity, dominant energy condition and causality for Lagrangian theory of maps
Regular hyperbolicity dominant energy condition causality for Lagrangian theory of maps
2010/12/21
The goal of the present paper is three-fold. First is to clarify the connection between the dominant energy condition and hyperbolicity properties of Lagrangian field theories.
Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
Direct regular-to-chaotic tunneling rates fictitious integrable system approach
2010/10/21
We review the fictitious integrable system approach which predicts dynamical tunneling rates
from regular states to the chaotic region in systems with a mixed phase space. It is based on the introduc...
Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
Trace formula for dielectric cavities pseudo-integrable chaotic examples
2010/10/27
Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [PRE 78, 056202 (2008), Ref. [3]] the trace formula f...
We propose a novel way to communicate signals in the form of waves across a d - dimensional lattice. The mechanism is based on quantum search algorithms and makes it possible to both search for marked...
Regular spiking in asymmetrically delay-coupled FitzHugh-Nagumo systems
Regular spiking interacting neurons periodic oscillations delay times
2010/4/7
We study two delay-coupled FitzHugh-Nagumo systems, introducing a mismatch between the delay times, as the simplest representation of interacting neurons. We demonstrate that the presence of delays ca...
Regular and chaotic Bose-Einstein condensate in an accelerated Wannier-Stark lattice
Regular and chaotic Bose-Einstein condensate Wannier-Stark lattice
2010/4/9
We investigate a Bose-Einstein condensate held in a quasi-one-dimensional Wannier-Stark lattice which is a combination of linear potential with an accelerated optical lattice. It is demonstrated that ...