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Simulating Brownian Bridges and Related Processes

Brownian bridges to submanifolds

Brownian bridges to submanifolds

... Keywords: Brownian bridge ; local time ; heat kernel ; submanifold AMS MSC 2010: 58J65 ; 53B21 ; 60J55 Introduction Brownian motion is a stochastic process naturally associated to any Riemannian man- ...

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Occupation densities for certain processes related to fractional Brownian motion

Occupation densities for certain processes related to fractional Brownian motion

... 90, rue de Tolbiac, 75634 Paris Cedex 13, France. January 22, 2008 Abstract In this paper we establish the existence of a square integrable occupation density for two classes of stochastic processes. First we ...

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Conditional characteristic functions of processes related to fractional Brownian motion

Conditional characteristic functions of processes related to fractional Brownian motion

... For a broad class of stochastic processes, in particular affine models (see e.g. Duffie [4] and Duffie, Filipovic and Schachermayer [5]), such predictions are easy to calculate and do only depend on the level of ...

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Canonical decompositions of certain generalized Brownian bridges

Canonical decompositions of certain generalized Brownian bridges

... multiple Brownian bridge, that corresponds to sticking together independent copies of Brownian ...such processes appeared in [7] where they were defined using iteration method by conditioning on B t ...

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A Lévy-Ciesielski expansion for quantum Brownian motion and the construction of quantum Brownian bridges

A Lévy-Ciesielski expansion for quantum Brownian motion and the construction of quantum Brownian bridges

... quantum Brownian motion as oper- ators in Fock space over a space of square summable ...tum Brownian bridges are defined and a number of representations of these are ...

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Guided proposals for simulating multi-dimensional diffusion bridges

Guided proposals for simulating multi-dimensional diffusion bridges

... where the original drift of X is disregarded. This is a popular choice in practice especially with a discretization scheme known as the Modified Brownian Bridge. Both proposals have their individual drawbacks, see ...

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Brownian Bridges for Late Time Asymptotics of KPZ Fluctuations in Finite Volume

Brownian Bridges for Late Time Asymptotics of KPZ Fluctuations in Finite Volume

... Wiener processes and all dy j → ...1 Brownian motions on the negative real axis that terminates when two particles collide or when one particle reaches the ...dimensional Brownian motion in the Weyl ...

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On peacocks and lyrebirds: Australian options, Brownian bridges, and the average of sub-martingales

On peacocks and lyrebirds: Australian options, Brownian bridges, and the average of sub-martingales

... In the theory of option pricing, an increased interest in the study of processes which are increasing in the convex order has been observed. This renewed interest originated from the study of certain exotic ...

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Modelling and Simulating Use Processes in Buildings

Modelling and Simulating Use Processes in Buildings

... To improve the adaptation of the scenario sim- ulation to the built environment and its status, we chose to integrate the scenario script with some agent-based components, intended to control some autonomous aspects of ...

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A note on the convergence of renewal and regenerative processes to a Brownian bridge

A note on the convergence of renewal and regenerative processes to a Brownian bridge

... when Brownian bridge is obtained as a limit by a functional central limit theorem, there is an explicit underlying conditioning that takes ...a Brownian motion and uses conditioning to prove convergence to ...

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Simulating Human Resources in Software Development Processes

Simulating Human Resources in Software Development Processes

... Wicksell’s corpuscle problem deals with the estima- tion of the size distribution of a population of particles, all hav ing the same shape, using a lower dimensional sampling probe. This problem was originary formulated ...

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Time since maximum of Brownian motion and asymmetric Lévy processes

Time since maximum of Brownian motion and asymmetric Lévy processes

... the Brownian motion is that it is considerably harder to obtain analytical ...two related pieces, one dependent on t and the other on T − ...evy processes—at least in the special case of jumps in one ...

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Synthetic Semiotics: on modelling and simulating the 
emergence of sign processes

Synthetic Semiotics: on modelling and simulating the emergence of sign processes

... sign-mediated processes show a notable ...meaning processes – icons, indexes, and symbols [26, CP ...indexical processes. Finally, symbols are signs that are related to their object through a ...

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SEREEGA: Simulating event-related EEG activity

SEREEGA: Simulating event-related EEG activity

... SEREEGA includes plotting functions to investigate the size, shape, and location of a lead field’s head model and the sources contained within, as well as to compare them against a standard adult head. To the extent that ...

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A strong uniform approximation of fractional Brownian motion by means of transport processes

A strong uniform approximation of fractional Brownian motion by means of transport processes

... for simulating its ...transport processes X i ( n ) , i = 1 , 2 , 3, which are used to define the approximations W ( n ) and W ˆ ( n ) to W for H > 1 / 2 and H < 1 / 2, respectively (formulas ...for ...

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Studies in stochastic processes : adaptive wavelet decompositions and operator fractional Brownian motions

Studies in stochastic processes : adaptive wavelet decompositions and operator fractional Brownian motions

... Note, however, that the subspace E λ in Corollary B.1.1 may not be the eigenspace of the operator X associated with the eigenvalue λ. For instance, if X = Identity, the entire E is the eigenspace associated with the ...

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1 Simulating Brownian motion (BM) and geometric Brownian motion (GBM)

1 Simulating Brownian motion (BM) and geometric Brownian motion (GBM)

... (By convention if tk is not an integer then we replace it by the largest integer less than or equal to it; denoted by [tk].) This leads to the particle taking many many iid steps, but ea[r] ...

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Modelling animal movement as Brownian bridges with covariates

Modelling animal movement as Brownian bridges with covariates

... the Brownian Bridge Movement Model and considers factors influencing both the movement and location ...nian bridges have found their merits despite the limiting assumptions as isotropic movement and not ...

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Modelling animal movement as Brownian bridges with covariates

Modelling animal movement as Brownian bridges with covariates

... the Brownian Bridge Movement Model that facilitates investigating and testing covariates of ...the Brownian Bridge Covariates Model (BBCM) to simulated trajectories demonstrating its ability to reproduce ...

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SIMULATING THE DYNAMIC RESPONSE OF DIVINE BRIDGES

SIMULATING THE DYNAMIC RESPONSE OF DIVINE BRIDGES

... on bridges and found that air suspended vehicles applied lower dynamic loads to bridges than did other types of ...highway bridges (Cantieni and Heywood ...span bridges. The Swiss ...

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