Strong Uniqueness of Dirichlet Operators Related to Stochastic Quantization Under Exponential Interactions in One-Dimensional Infinite Volume

2018 ◽  
pp. 461-471
Author(s):  
Hiroshi Kawabi
Keyword(s):  
Infinite Volume ◽  
Stochastic Quantization ◽  
Strong Uniqueness ◽  
One Dimensional ◽  
Dirichlet Operators

Strong Uniqueness for Dirichlet Operators with Singular Potentials

2001 ◽  
pp. 215-221
Author(s):  
Vitali Liskevich ◽  
Oleksiy Us
Keyword(s):  
Singular Potentials ◽  
Strong Uniqueness ◽  
Dirichlet Operators

Periodicity of the infinite-volume ground state of a one-dimensional quantum model

2002 ◽  
Vol 48 (6) ◽  
pp. 791-803 ◽  
Author(s):  
X. Blanc ◽  
C.Le Bris
Keyword(s):  
Ground State ◽  
Quantum Model ◽  
Infinite Volume ◽  
One Dimensional

scholarly journals The stochastic quantization method and its application to the numerical simulation of volcanic conduit dynamics under random conditions

2010 ◽  
Vol 2 (1) ◽  
pp. 43-67
Author(s):  
E. Peruzzo ◽  
M. Barsanti ◽  
F. Flandoli ◽  
P. Papale
Keyword(s):  
Numerical Simulation ◽  
Probability Distribution ◽  
Numerical Simulations ◽  
Stochastic Quantization ◽  
Quantization Method ◽  
Benchmark Test ◽  
Magma Flow ◽  
One Dimensional ◽  
Volcanic Conduit ◽  
Made In

Abstract. Stochastic Quantization (SQ) is a method for the approximation of a continuous probability distribution with a discrete one. The proposal made in this paper is to apply this technique to reduce the number of numerical simulations for systems with uncertain inputs, when estimates of the output distribution are needed. This question is relevant in volcanology, where realistic simulations are very expensive and uncertainty is always present. We show the results of a benchmark test based on a one-dimensional steady model of magma flow in a volcanic conduit.

scholarly journals Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions

2012 ◽  
Vol 262 (2) ◽  
pp. 602-638 ◽  
Author(s):  
Sergio Albeverio ◽  
Hiroshi Kawabi ◽  
Michael Röckner
Keyword(s):  
Stochastic Dynamics ◽  
Gibbs Measures ◽  
Path Space ◽  
Strong Uniqueness ◽  
Dirichlet Operators

scholarly journals Particle Projection Using a Complex Langevin Method

2018 ◽  
Vol 175 ◽  
pp. 03003 ◽  
Author(s):  
Christopher R. Shill ◽  
Joaquín E. Drut
Keyword(s):  
Thermal Properties ◽  
Partition Function ◽  
Finite Temperature ◽  
Particle Number ◽  
Virial Coefficients ◽  
Stochastic Quantization ◽  
Projection Technique ◽  
Fermi Systems ◽  
One Dimensional ◽  
Spatial Dimensions

Using complex stochastic quantization, we implement a particle-number projection technique on the partition function of spin-1/2 fermions at finite temperature on the lattice. We discuss the method, its application towards obtaining the thermal properties of finite Fermi systems in three spatial dimensions, and results for the first five virial coefficients of one-dimensional, attractively interacting fermions.

ON THE STRONG UNIQUENESS OF SOME FINITE DIMENSIONAL DIRICHLET OPERATORS

2008 ◽  
Vol 11 (02) ◽  
pp. 279-293 ◽  
Author(s):  
MARTIN KOLB
Keyword(s):  
Hyperbolic Equation ◽  
Logarithmic Derivative ◽  
Equation Approach ◽  
Strong Uniqueness ◽  
Finite Dimensional ◽  
Dirichlet Operators

We prove essential self-adjointness of a class of Dirichlet operators in ℝn using the hyperbolic equation approach. This method allows one to prove essential self-adjointness under minimal conditions on the logarithmic derivative of the density and a condition of Muckenhoupt type on the density itself.

scholarly journals Infinite volume extrapolation in the one-dimensional bond diluted Levy spin-glass model near its lower critical dimension

2015 ◽  
Vol 91 (6) ◽  
Author(s):  
L. Leuzzi ◽  
G. Parisi ◽  
F. Ricci-Tersenghi ◽  
J. J. Ruiz-Lorenzo
Keyword(s):  
Spin Glass ◽  
Critical Dimension ◽  
Infinite Volume ◽  
Spin Glass Model ◽  
One Dimensional ◽  
Glass Model ◽  
The One

scholarly journals Analog stochastic quantization for a one-dimensional binary alloy

1993 ◽  
Vol 47 (14) ◽  
pp. 8580-8587 ◽  
Author(s):  
N. G. Stocks ◽  
C. J. Lambert ◽  
R. Mannella ◽  
P. V. E. McClintock
Keyword(s):  
Binary Alloy ◽  
Stochastic Quantization ◽  
One Dimensional

scholarly journals The stochastic quantization method and its application to the numerical simulation of volcanic conduit dynamics under random conditions

Solid Earth ◽  
2010 ◽  
Vol 1 (1) ◽  
pp. 49-59 ◽  
Author(s):  
E. Peruzzo ◽  
M. Barsanti ◽  
F. Flandoli ◽  
P. Papale
Keyword(s):  
Numerical Simulation ◽  
Probability Distribution ◽  
Numerical Simulations ◽  
Stochastic Quantization ◽  
Quantization Method ◽  
Benchmark Test ◽  
Magma Flow ◽  
One Dimensional ◽  
Volcanic Conduit ◽  
Made In

Abstract. Stochastic Quantization (SQ) is a method for the approximation of a continuous probability distribution with a discrete one. The proposal made in this paper is to apply this technique to reduce the number of numerical simulations for systems with uncertain inputs, when estimates of the output distribution are needed. This question is relevant in volcanology, where realistic simulations are very expensive and uncertainty is always present. We show the results of a benchmark test based on a one-dimensional steady model of magma flow in a volcanic conduit.

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