Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

Elliptic Extensions in Statistical and Stochastic Systems

Elliptic Extensions in Statistical and Stochastic Systems

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9789811995262
Condition
New
Product Description

Hermite's theorem makes it known that there are three levels of mathematical frames in which a simple addition formula is valid. They are rational, q-analogue, and elliptic-analogue. Based on the addition formula and associated mathematical structures, productive studies have been carried out in the process of q-extension of the rational (classical) formulas in enumerative combinatorics, theory of special functions, representation theory, study of integrable systems, and so on. Originating from the paper by Date, Jimbo, Kuniba, Miwa, and Okado on the exactly solvable statistical mechanics models using the theta function identities (1987), the formulas obtained at the q-level are now extended to the elliptic level in many research fields in mathematics and theoretical physics. In the present monograph, the recent progress of the elliptic extensions in the study of statistical and stochastic models in equilibrium and nonequilibrium statistical mechanics and probability theory is shown. At the elliptic level, many special functions are used, including Jacobi's theta functions, Weierstrass elliptic functions, Jacobi's elliptic functions, and others. This monograph is not intended to be a handbook of mathematical formulas of these elliptic functions, however. Thus, use is made only of the theta function of a complex-valued argument and a real-valued nome, which is a simplified version of the four kinds of Jacobi's theta functions. Then, the seven systems of orthogonal theta functions, written using a polynomial of the argument multiplied by a single theta function, or pairs of such functions, can be defined. They were introduced by Rosengren and Schlosser (2006), in association with the seven irreducible reduced affine root systems. Using Rosengren and Schlosser's theta functions, non-colliding Brownian bridges on a one-dimensional torus and an interval are discussed, along with determinantal point processes on a two-dimensional torus. Their scaling limitsare argued, and the infinite particle systems are derived. Such limit transitions will be regarded as the mathematical realizations of the thermodynamic or hydrodynamic limits that are central subjects of statistical mechanics.

Available Colors
Available Sizes
1 Offer Price Range: $39.99 - $39.99
BEST PRICE

Single Product Purchase

$39.99
@ Link.springer.com     BUY Now

Price Comparison

Seller Contact Seller List Price On Sale Shipping Best Promo Final Price Volume Discount Financing Availability Seller's Page
BEST PRICE
1 Product Purchase
@ Link.springer.com
Contact Store Call Store Contact Support
$39.99 $39.99

$39.99
See Site In stock Visit Store

Similar Products

Angewandte Mathematik, Finanzmathematik, Statistik, Informatik fr UPN-Rechner

$64.99

Modell zur Bewertung wohnwirtschaftlicher Immobilien-Portfolios unter Beachtung des Risikos

$59.99

Technologie der Gespinnstfasern

$59.99

Thermodynamik

$49.99

Gasotransmitters in Organ Transplantation

$159.99

Jahrbuch der Jean Paul Gesellschaft

$49.99

Advanced Informatics for Computing Research

$99.99

Wege und Ziele der sterreichischen Elektrizittswirtschaft

$2.99

Volcanic Debris Avalanches

$199.99

Multi-Channel Strategies for Retail Financial Services

$54.99

George Eliot for the Twenty-First Century

$89.99

State Socialism in Eastern Europe

$129.99

Panik und Agoraphobie

$79.99

Cancer Nanotechnology

$169.99

Rubber Science

$79.99

Identity Construction and Science Education Research

$49.99

Experimental Hematology Today 1979

$39.99

Henry E. Kyburg, Jr. & Isaac Levi

$54.99

Cyclodextrin Chemistry

$39.99

Teleophthalmology in Preventive Medicine

$109.99

Bodenbiologische Arbeitsmethoden

$99.99

Statistical Thermodynamics for Pure and Applied Sciences

$59.99

Clinical Handbook of Obsessive-Compulsive and Related Disorders

$219.99

Information Processing in Social Insects

$84.99

Recent Trends in Algebraic Development Techniques

$39.99

Smart Sensing Technology for Agriculture and Environmental Monitoring

$129.00

Supervision in der klinisch-praktischen Logopdieausbildung

$69.99

Multiracial Identity

$54.99

Fatigue Crack Growth Failure and Lifing Analyses for Metallic Aircraft Structures and Components

$54.99

Alpha-1 Antitrypsin

$159.99

The Day Jimmy's Boa Ate the Wash

$5.21

Contaminants of the Great Lakes

$449.99

Data Analytics and Learning

$169.99

Computational Plasticity for Finite Elements

$59.99

Multi-Component and Sequential Reactions in Polymer Synthesis

$219.99

Einfhrung in die Operative Logik und Mathematik

$54.99

Data Science

$139.99

European Security in the 1990s

$109.99

Storied Doctorates

$129.99

Neuausrichtung des Finanzdienstleistungsmarketings

$69.99