Nonlinear Stochastic Process and Path Integral
Path Integral Methods for Stochastic Differential Equations
... general stochastic processes [14–25]. Although Wiener introduced path integrals to study stochastic processes, these methods are not commonly used nor familiar to much of the neuroscience or applied ...
35
Stochastic path-integral formalism for continuous quantum measurement
... the stochastic path integral formalism and action principle for con- tinuous quantum measurement introduced in ...the stochastic path ...
24
Path-Integral Methods for Analyzing the Effects of Fluctuations in Stochastic Hybrid Neural Networks
... Markov process whose transition rates depend on the synaptic ...corresponding path-integral representation of the stochastic ...the path integral provides an efficient method for ...
33
Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type
... or stochastic integral equations are important in the study of many physical phenomena in life sciences, engineering, and technology ...of stochastic integral equations being studied by ...
16
Path-dependent backward stochastic Volterra integral equations with jumps, differentiability and duality principle
... to path-dependent backward stochastic Volterra integral equations (BSVIEs) with jumps, where path- dependence means the dependence of the free term and generator of a path of a c`adl`ag ...
37
Backwards Ito-Henstock Integral for the Hilbert-Schmidt-Valued Stochastic Process
... Riemann integral. However, for non-mathematicians the Lebesgue integral is difficult to understand and requires enough background of measure ...Riemann-type integral was discovered independently by ...
21
Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets
... solving nonlinear stochastic Itô–Volterra integral equations based on Haar ...and stochastic integration operational matrixes, the approximate solution of nonlinear stochastic ...
14
Numerical Implementation of Triangular Functions for Solving a Stochastic Nonlinear Volterra-Fredholm Integral Equation
... the stochastic nonlinear volterra-fredholm integral equation (SNVFIE) driven by a standard Brownian motion ...a stochastic operational matrix (SOM) based on the triangular functions (TFs) in ...
6
A Version of Fundamental Theorem for the Ito-McShane Integral of an Operator-Valued Stochastic Process
... Abstract. In this paper, we formulate a descriptive definition or a version of fundamental theo- rem for the Itˆ o-McShane integral of an operator-valued stochastic process with respect to a Hilbert ...
17
Application of random fixed point theorems in solving nonlinear stochastic integral equation of the Hammerstein type
... are stochastic generalization of classical fixed point theorems what we call as determinstic ...in stochastic version (see for detail in Joshi and Bose [9], Saha et ...
6
Numerical approach for solving nonlinear stochastic Ito-Volterra integral equations using Fibonacci operational matrices
... solving nonlinear stochastic It^o-Volterra integral ...obtain stochastic operational matrix of Fibonacci ...with stochastic operational ...of nonlinear equations which can be ...
10
Option pricing in a path integral framework
... Another assumption that can be modified/manipulated is the structure of volatility. The original Black and Scholes model used a constant volatility for the stock price, which was used for the purpose of simplification. ...
300
Adaptive Smoothing Path Integral Control
... the stochastic cost in the gradient estimator by the easier-to-estimate advantage function, which has a state dependent baseline and only takes into account future expected ...the stochastic cost and this ...
23
Stochastic integral equations without probability
... 0 Z(s) ds (LY) t 0 ó Z(s) dX(s), (1:4) whenever the integrals with respect to X (X(t)) t2[0,T] exist as left Young integrals, and the remaining two integrals exist in the Riemann sense. Here c, ó are constants and D ...
34
Numerical Solution of Two Dimensional Nonlinear Stochastic Itô Volterra Integral Equations by Applying Block Pulse Functions
... two-dimensional nonlinear stochastic Itô-Volterra integral equations based on block pulse ...The nonlinear stochastic integral equation is transformed into a set of algebraic ...
14
SAMPLE PATH PROPERTIES OF THE STOCHASTIC FLOWS
... Acknowledgments. This paper was started during the conference Nonlinear Analysis, 2000. D. Dolgopyat is grateful to IMA for the travel grant to attend this conference. During the work on this paper we enjoyed the ...
27
Identifying the Median Path of a Stochastic Processes
... MEDIAN PATH METHOD 2 Abstract This paper presents a method to characterize the typical path of a stochastic process, which I refer to as the Median ...Median Path in simulation and ...
9
Information Geometry of Nonlinear Stochastic Systems
... adjustment process, where the PDFs transition from being largely Gaussian to their final ...transition process are independent of D, and even broadly similar for the different values of ...
14
Information Geometry of Nonlinear Stochastic Systems
... adjustment process, where the PDFs transition from being largely Gaussian to their final ...transition process are independent of D, and even broadly similar for the different values of ...
15
Stochastic and Collective Properties of Nonlinear Oscillators
... the process of building up clusters by successive applications of very simple decimation steps leads to good predictions of structures which are far from ...
184