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Convergence and free-will     reductionism  artificial  intelligence       font style='font-size:12px;'> 2011/9/8
If our mind is just an algorithm running on a flesh hardware, then it seems that there is no place for the free-will. An algorithm decides everything based on deterministic computations, or on random ...
We study large deviation properties of systems of weakly interacting particles modeled by Itô stochastic differential equations (SDEs).It is known under certain conditions that the corresponding...
We establish some new results about the 􀀀-limit, with respect to the L1-topology, of two di erent (but related) phase- eld approximations of the so-called Euler's Elastica Bending Energy for ...
В работе анонсируются новые результаты о сходимости аппроксимаций Чебышёва– Паде для вещественных алгебраических функций, заданных на отрезке [−1, 1]. Скорость сходимости аппроксимаций на отре...
In this paper, we show that the convergence order of the numerical scheme introduced in [12] for sweeping processes is equal to one. The considered differential inclusions involve a set-valued map, gi...
We consider a SPDE (stochastic partial differential equation) which describes the velocity field of a viscous, incompressible non-Newtonian fluid subject to a random force.Here, the extra stress tenso...
The Feynman integral is one of the most accurate methods for calculating density operator dy- namics in open quantum systems. However, the number of time steps that can realistically be used is alway...
We study points of density 1/2 of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this clas...
We extend to Lipschitz continuous functionals either of the true paths or of the Euler scheme with decreasing step of a wide class of Brownian ergodic diffusions, the Central Limit Theorems formally e...
We define a new type of self-similarity for one-parameter families of stochastic processes, which applies to a number of important families of processes that are not self-similar in the conventional...
The paper estimates the rate of convergence of the weak Euler approximation for solutions to SDEs driven by point and martingale measures, with H¨older continuous coefficients. The equation considered...
Convergence of Infinite Composition of Entire Functions      Infinite Composition  Entire Functions        font style='font-size:12px;'> 2010/12/6
The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions be-comes an entire function. Moreover, as an example of such functio...
Weak convergence of random walks conditioned to stay away      Weak convergence  walks conditioned        font style='font-size:12px;'> 2010/11/29
Let {Xn}n∈N be a sequence of i.i.d. randomvariables in Zd. Let Sk = X1 + ...+ Xk and Yn(t) be the continuous process on [0, 1] for which Yn(k/n) = Sk/√n k = 1, ..., n and which is linearly interpolate...
We study the rate of convergence to a normal random variable of the real and imaginary parts of TrANU, where U is an N ×N random unitary matrix and AN is a deterministic complex matrix.
We prove C1 convergence for suitably normalized solutions of the parabolic complex Monge- Amp`ere equation on compact Hermitian manifolds. This provides a parabolic proof of a recent result of Tosat...

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