scholarly journals 2P-173 How does the charge distribution of microtubules affect the one-dimensional Brownian motion of charged particles?(The 46th Annual Meeting of the Biophysical Society of Japan)

2008 ◽  
Vol 48 (supplement) ◽  
pp. S101-S102
Author(s):  
Itsushi Minoura ◽  
Seiichi Uchimura ◽  
Etsuko Muto
Keyword(s):  
Brownian Motion ◽  
Annual Meeting ◽  
Charge Distribution ◽  
Charged Particles ◽  
One Dimensional ◽  
Biophysical Society ◽  
The One

A limit theorem for certain disordered random systems

1994 ◽  
Vol 26 (04) ◽  
pp. 1022-1043 ◽  
Author(s):  
Xinhong Ding
Keyword(s):  
Differential Equation ◽  
Brownian Motion ◽  
Limit Theorem ◽  
Random Systems ◽  
Joint Probability ◽  
Dynamical Behaviour ◽  
One Dimensional ◽  
Linear Stochastic Differential Equation ◽  
The One ◽  
Image Position

Many disordered random systems in applications can be described by N randomly coupled Ito stochastic differential equations in : where is a sequence of independent copies of the one-dimensional Brownian motion W and ( is a sequence of independent copies of the ℝ p -valued random vector ξ. We show that under suitable conditions on the functions b, σ, K and Φ the dynamical behaviour of this system in the N → (limit can be described by the non-linear stochastic differential equation where P(t, dx dy) is the joint probability law of ξ and X(t).

scholarly journals 1P-155 Biased-Brownian-motion of microtubules energized by laser irradiations(The 46th Annual Meeting of the Biophysical Society of Japan)

2008 ◽  
Vol 48 (supplement) ◽  
pp. S45
Author(s):  
Chiharu Nagatomi ◽  
Mihoko Kunita ◽  
Eiichi Imai ◽  
Hajime Honda
Keyword(s):  
Brownian Motion ◽  
Annual Meeting ◽  
Biophysical Society

A limit theorem for certain disordered random systems

1994 ◽  
Vol 26 (4) ◽  
pp. 1022-1043 ◽  
Author(s):  
Xinhong Ding
Keyword(s):  
Differential Equation ◽  
Brownian Motion ◽  
Limit Theorem ◽  
Random Systems ◽  
Joint Probability ◽  
Dynamical Behaviour ◽  
One Dimensional ◽  
Linear Stochastic Differential Equation ◽  
The One ◽  
Image Position

Many disordered random systems in applications can be described by N randomly coupled Ito stochastic differential equations in : where is a sequence of independent copies of the one-dimensional Brownian motion W and ( is a sequence of independent copies of the ℝp-valued random vector ξ. We show that under suitable conditions on the functions b, σ, K and Φ the dynamical behaviour of this system in the N → (limit can be described by the non-linear stochastic differential equation where P(t, dx dy) is the joint probability law of ξ and X(t).

scholarly journals A Class of Bridges of Iterated Integrals of Brownian Motion Related to Various Boundary Value Problems Involving the One-Dimensional Polyharmonic Operator

2011 ◽  
Vol 2011 ◽  
pp. 1-32
Author(s):  
Aimé Lachal
Keyword(s):  
Brownian Motion ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Classical Problem ◽  
Polyharmonic Operator ◽  
One Dimensional ◽  
The One ◽  
Interpolation Polynomials ◽  
Derivatives Of ◽  
Hermite Interpolation Polynomials

Let be the linear Brownian motion and the -fold integral of Brownian motion, with being a positive integer: for any In this paper we construct several bridges between times and of the process involving conditions on the successive derivatives of at times and . For this family of bridges, we make a correspondence with certain boundary value problems related to the one-dimensional polyharmonic operator. We also study the classical problem of prediction. Our results involve various Hermite interpolation polynomials.

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