Supersymmetric theory of stochastic dynamics or stochastics (STS) is an exact theory of stochastic (partial) differential equations (SDEs), the class of...

the so-emerging supersymmetric theory of stochastic dynamics can be recognized as the Witten-type topological field theory. The meaning of the topological...

probability theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a sequence of random variables...

{R} ^{n}} , as in the theory of stochastic processes. For example, to study Brownian motion, probability is defined on a space of functions. When it is...

mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler...

part of number theory and analysis, partition theory is now considered a part of combinatorics or an independent field. Order theory is the study of partially...

Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical...

numerical solution of partial differential equations Stochastic methods, such as Monte Carlo methods and other representations of uncertainty in scientific...

According to the supersymmetric theory of stochastic dynamics, chaos, or more precisely, its stochastic generalization, is also part of this family. The...

Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals...

field theories. The dynamics of a classical field are usually specified by the Lagrangian density in terms of the field components; the dynamics can be...

effects of quantization; theories that incorporate quantum mechanics are called quantum field theories. In most contexts, 'classical field theory' is specifically...

Decision theory (or the theory of choice) is a branch of applied probability theory and analytic philosophy concerned with the theory of making decisions...

low energies is by a supersymmetric gauge theory, and found geometrical interpretations of mathematical structures in gauge theory that he and Nathan Seiberg...

the operator representation of stochastic dynamics is the exterior derivative, which is commutative with the stochastic evolution operator. This supersymmetry...

non-supersymmetric physics from a supersymmetric theory which is a necessary step to reconcile supersymmetry with actual experiments. It is an example of...

X_{t}=h^{-1}(\alpha t+W_{t}+h(X_{0}))} In supersymmetric theory of SDEs, stochastic dynamics is defined via stochastic evolution operator acting on the differential...

In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, do not change under local transformations...

field theories typically work best when there is a large separation between length scale of interest and the length scale of the underlying dynamics. Effective...

Lagrangian, a function which summarizes the dynamics of the entire system. Overall, the Lagrangian has units of energy, but no single expression for all...

Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography...

mechanics, rather than quantum field theory. Supersymmetric quantum mechanics has found applications outside of high-energy physics, such as providing...

Non-deterministic, or stochastic systems can be studied using a different kind of mathematics, such as stochastic calculus. List of multivariable calculus...

practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts...

Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite...

Springer, November 2008. ISBN 978-0-387-09623-0 For stochastic methods: A. Zhigljavsky. Theory of Global Random Search. Mathematics and its applications...

List of algorithms List of algorithm general topics Regulation of algorithms Theory of computation Computability theory Computational complexity theory Computational...

describing the dynamics of a system. There are other formulations such as Hamilton–Jacobi theory, Routhian mechanics, and Appell's equation of motion. All...

Social choice theory or social choice is a branch of welfare economics that analyzes mechanisms and procedures for collective decision-making. Social choice...

finding a solution, or failing to find a solution after exhaustive search (stochastic algorithms typically never reach an exhaustive conclusion, while directed...