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The Feynman-Kac Formula

On Switching Diffusions: The Feynman-Kac Formula And Near-Optimal Controls

On Switching Diffusions: The Feynman-Kac Formula And Near-Optimal Controls

... This dissertation concerns switching diffusions or hybrid-switching diffusions in two different contexts. Accordingly, it is divided into two main chapters. The setup and formulation is slightly different in each ...

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Feynman-Kac formula for heat equation driven by fractional white noise

Feynman-Kac formula for heat equation driven by fractional white noise

... the FeynmanKac formula for the multidi- mensional stochastic heat equation with a multiplicative fractional Brownian ...the FeynmanKac formula is a weak solution of the ...

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Nonlinear Feynman–Kac formula and discrete-functional-type BSDEs with continuous coefficients

Nonlinear Feynman–Kac formula and discrete-functional-type BSDEs with continuous coefficients

... Nonlinear FeynmanKac formula via viscosity solutions In the previous section, we proved one direction of the nonlinear FeynmanKac formula, that is, we assume that the system of ...

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Feynman Kac formula for switching diffusions: connections of systems of partial differential equations and stochastic differential equations

Feynman Kac formula for switching diffusions: connections of systems of partial differential equations and stochastic differential equations

... diffusion; Feynman-Kac formula; Dirichlet problem; Cauchy problem 1 Introduction Because of the increasing demands and complexity in modeling, analysis, and compu- tation, significant efforts have been ...

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A new Feynman-Kac-formula for option pricing in Lévy models

A new Feynman-Kac-formula for option pricing in Lévy models

... 6th World Congress of the Bachelier Finance Society in Toronto, June 23, 2010... PIDE and Fourier method.[r] ...

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Counting statistics a Feynman-Kac perspective

Counting statistics a Feynman-Kac perspective

... This paper is organized as follows. In Sec. II we in- troduce a discrete Feynman-Kac formula for a class of random walkers in absorbing media. Then, in Sec. III we discuss some applications where the ...

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Feynman-Kac representation of fully nonlinear PDEs and applications

Feynman-Kac representation of fully nonlinear PDEs and applications

... The main issue for a Feynman-Kac type formula of the fully nonlinear PDE (3.2) comes from the fact that the controlled forward process X α in (3.4) cannot be simulated for all values of the control ...

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A Feynman–Kac result via Markov BSDEs with generalised drivers

A Feynman–Kac result via Markov BSDEs with generalised drivers

... The paper is organised as follows. In Section 2, we recall useful results, set the notation and state the assumptions needed later on. In Section 3, we define the integral operator A Y,W and introduce the equivalent ...

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Ising Kac models near criticality

Ising Kac models near criticality

... the Feynman-Kac formula instead of the Kipnis-Varadhan lemma, we are going to allow the process to start from any initial condition at the cost of obtaining convergence in probability and not in L 2 ...

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Feynman-Kac representation for Hamilton-Jacobi-Bellman IPDE

Feynman-Kac representation for Hamilton-Jacobi-Bellman IPDE

... a Feynman-Kac type representation for Hamilton-Jacobi-Bellman equation, in terms of Forward Backward Stochastic Differential Equation (FBSDE) with a simulatable forward ...dual formula of this BSDE ...

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Finite Temperature Excitations of a Trapped Bose Gas by Feynman-Kac Path Integral Approach

Finite Temperature Excitations of a Trapped Bose Gas by Feynman-Kac Path Integral Approach

... energy formula gives the lowest energy corresponding to any symmetry, the same formula gives the lowest energy corresponding to any symmetry, the same formula can be used to calculate the ground and ...

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STABILITY OF DIRICHLET HEAT KERNEL ESTIMATES FOR NON-LOCAL OPERATORS UNDER FEYNMAN-KAC PERTURBATION

STABILITY OF DIRICHLET HEAT KERNEL ESTIMATES FOR NON-LOCAL OPERATORS UNDER FEYNMAN-KAC PERTURBATION

... Fractional Laplacian, symmetric α -stable process, symmetric stable- like process, censored stable process, relativistic symmetric stable process, heat kernel, transition density, Dirich[r] ...

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Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of levy processes

Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of levy processes

... A basic question we address in this paper is that given the class of jump Lévy processes considered, what are conditions on V making the FeynmanKac semi- group {T t : t ≥ 0} IUC or AIUC. The answer is, ...

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The Kac Conjecture

The Kac Conjecture

... To quantify the rate of approach to equilibrium for the Boltzmann equation is a mathematically and physically significant problem.. In this regard, one quantity of interest is the spectr[r] ...

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[Richard P. Feynman] Feynman Lectures on Computation

[Richard P. Feynman] Feynman Lectures on Computation

... Ordinarily, the free energy expended in running it reversibly will be zero, when the process is infinitesimally slow, but let us suppose that we are actually drivi[r] ...

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Feynman integrals and hyperlogarithms

Feynman integrals and hyperlogarithms

... to Feynman integrals alone, but to any integral whose integrand is built from polylogarithms and rational functions such that the criterion of linear reducibility is ...several Feynman integrals have been ...

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Periods of Feynman Diagrams

Periods of Feynman Diagrams

... 2 FEYNMAN DIAGRAMS 2.1 Parametric Representation of Feynman Amplitudes Feynman diagrams (or Feynman graphs) are one-dimensional simplicial complexes with half edges attached to some of the ...

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Richard Phillips Feynman

Richard Phillips Feynman

... If we don’t increase the speed so much, and change from oil to kerosene or some other fluid, the problem is not so bad. But actually we may not have to lubricate at all! We have a lot of[r] ...

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Feynman Lectures on Computation

Feynman Lectures on Computation

... I have tried to ensure that all errors of (my) understanding have been eliminated from the final version of these lectures. In this task I have been helped by [r] ...

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integration in Feynman way

integration in Feynman way

... Mr. Feynman is referring to often goes by the name of differentiating under the integral sign, differentiation with respect to a parameter, or sometimes even Feynman ...

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