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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：SOME PROPERTIES OF STATIONARY CONTINUOUS STATE BRANCHING PROCESSES
稳态 连续状态 分支过程 性质
2023/3/22
We consider the genealogical tree of a stationary continuous state branching process with immigration. For a sub-critical stable branching mechanism, we consider the genealogical tree of the extant po...
2018组和三维流形几何研讨会（Workshop on Geometry of Groups and 3-manifolds:State of the Art and Perspectives）
2018 组和三维流形几何 研讨会
2017/12/20
The object of this week is to bring together specialists in the domains of Riemannian geometry, low-dimensional topology and geometric group theory to take stock of current interactions and encourage ...
BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
We study stationary quantum fluctuations around a mean field limit in trapped, dilute atomic gases of repulsively interacting bosons at zero temperature. Our goal is to describe quantum-mechanically t...
ERRATUM:BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
This is a correction to the author’s article [Multiscale Model. Simul.,10 (2012), pp.383–417].
ALMOST ISOMORPHISM FOR COUNTABLE STATE MARKOV SHIFTS
ALMOST ISOMORPHISM COUNTABLE STATE MARKOV SHIFTS
2015/9/29
Countable state Markov shifts are a natural generalization of the well-known subshifts of finite type. They are the subject of current research both for their own sake and as models for smooth dynamic...
Exponential error rates in multiple state discrimination on a quantum spin chain
Exponential error rates multiple state discrimination quantum spin chain
2015/8/25
We consider decision problems on finite sets of hypotheses represented by pairwise different shift-invariant states on a quantum spin chain. The decision in favor of one of the hypotheses is based on ...
THRESHOLD STATE AND A CONJECTURE OF POGHOSYAN,POGHOSYAN,PRIEZZHEV AND RUELLE
THRESHOLD STATE POGHOSYAN POGHOSYAN PRIEZZHEV RUELLE
2015/8/14
We prove a precise relationship between the threshold state of the fixed-energy sandpile and the stationary state of Dhar’s abelian sandpile: In the limit as the initial condition s0 tends to −∞...
Dynamical system state need not have spectrum
Dynamic system nonlinear dynamical systems differential equation
2015/8/13
Recently there has been much study of nonlinear dynamical systems (differential equations) which have chaotic solutions. While there is not precise definition of what a chaotic solution is, it is gene...
Design of stablizing state feedback for delay systems via convex optimization
A linear system functional convex optimization techniques
2015/8/12
For linear systems with delays, we define a new class of Lyapunov-like functionals that may be used to prove stability. We also show how we may design a stabilizing (delayed) state feedback for delay ...
Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization
Piecewise-affine systems State feedback Convex optimization Ellipsoids Lyapunov function
2015/8/10
This paper shows that Lyapunov-based state feedback controller synthesis for piecewise-affine (PWA) slab systems can be cast as an optimization problem subject to a set of linear matrix inequalities (...
Mixed state estimation for a linear Gaussian Markov model
Discrete dynamical system Boolean state of continuous linear transmission Boolean state variables noise markov chain
2015/8/10
We consider a discrete-time dynamical system with Boolean and continuous states, with the continuous state propagating linearly in the continuous and Boolean state variables, and an additive Gaussian ...
Analysis and synthesis of state-feedback controllers with timing jitter
Constant linear linear system status the convex quadratic performance the linear matrix inequality (lmi) and lyapunov function
2015/8/10
We consider a continuous-time linear system with sampled constant linear state-feedback control and a convex quadratic performance measure. The sample times, however, are subject to variation within s...
Reduction of Markov chains with two-time-scale state transitions
Reduction Markov chain time scale approximation limit behavior
2014/12/5
We consider a general class of two-time-scale Markov chains whose transition rate matrices
depend on a parameterI. We assume that some transition rates of the Markov chain will tend to
infinity as I...
A Mo dified Schur Metho d for Robust Pole Assignment in State Feedback Control
pole assignment state feedback control robustness departure from normality real Schur form
2014/10/10
Recently, a SCHUR metho d was prop osed in [8] to solve the robust p ole assignment problem in state feedback control. It takes the departure from normality of the closed-lo op system matrix A c as th...
A Nonlinear Multigrid Steady-State Solver for Microflow
Multigrid Boltzmann equation ES-BGK model NRxx method
2014/10/10
We develop a nonlinear multigrid method to solve the steady state of microflow,which is modeled by the high order moment system derived recently for the steadystate Boltzmann equation with ES-BGK coll...