1.

Record Nr.

UNINA9910481047503321

Autore

Speicher Roland <1960->

Titolo

Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1998]

©1998

ISBN

1-4704-0216-5

Descrizione fisica

1 online resource (105 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 627

Disciplina

510 s

512/.55

Soggetti

Operator-valued functions

Selfadjoint operators

Free products (Group theory)

Combinatorial analysis

Free probability theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"March 1998, volume 132, number 627 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Introduction""; ""Chapter I. Preliminaries on non-crossing partitions""; ""1.1. Non-crossing partitions""; ""1.2. Incidence algebra and convolution""; ""1.3. Multiplicative functions""; ""Chapter II. Operator-valued multiplicative functions on the lattice of non-crossing partitions""; ""2.1. Operator-valued multiplicative functions""; ""2.2. Connection between f and f â??C""; ""2.3. Special case I = I(C,C)""; ""2.4. Tracial multiplicative functions""; ""2.5. Product and cluster property""; ""Chapter III. Amalgamated free products""; ""3.1. Basic notations""

""3.2. Moment and cumulant functions""""3.3. Definition of the amalgamated free product""; ""3.4. Explicit formula for α[sub(1)] â??α[sub(2)]""; ""3.5. Positivity of the amalgamated free product""; ""Chapter IV. Operator-valued free probability theory""; ""4.1. B-valued random variables and free convolution""; ""4.2. B-Gaussian distributions and central limit theorem""; ""4.3. Positivity of B-Gaussian distributions""; ""4.4. Compound B-Poisson distributions""; ""4.5. Infinitely divisible



distributions""; ""4.6. Full Fock space over a Hilbert-B-bimodule""

""4.7. Realization of infinitely divisible distributions on a full Fock space""""Chapter V. Operator-valued stochastic processes and stochastic differential equations""; ""5.1. B-valued stochastic processes""; ""5.2. Formulation of the problem""; ""5.3. Possible solutions of the problem""; ""5.4. Gaussian approximation""; ""Bibliography""

2.

Record Nr.

UNINA9910410053603321

Titolo

Pattern Recognition : 12th Mexican Conference, MCPR 2020, Morelia, Mexico, June 24–27, 2020, Proceedings / / edited by Karina Mariela Figueroa Mora, Juan Anzurez Marín, Jaime Cerda, Jesús Ariel Carrasco-Ochoa, José Francisco Martínez-Trinidad, José Arturo Olvera-López

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-49076-9

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (348 pages)

Collana

Image Processing, Computer Vision, Pattern Recognition, and Graphics, , 3004-9954 ; ; 12088

Disciplina

006.4

006.3

Soggetti

Pattern recognition systems

Artificial intelligence

Computer networks

Computer vision

Application software

Automated Pattern Recognition

Artificial Intelligence

Computer Communication Networks

Computer Vision

Computer and Information Systems Applications

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Pattern Recognition Techniques -- Image Processing and Analysis --



Computer Vision -- Industrial and Medical Applications of Pattern Recognition -- Natural Language Processing and Recognition -- Artificial Intelligence Techniques and Recognition.

Sommario/riassunto

This book constitutes the proceedings of the 12th Mexican Conference on Pattern Recognition, MCPR 2020, which was due to be held in Morelia, Mexico, in June 2020. The conference was held virtually due to the COVID-19 pandemic. The 31 papers presented in this volume were carefully reviewed and selected from 67 submissions. They were organized in the following topical sections: pattern recognition techniques; image processing and analysis; computer vision; industrial and medical applications of pattern recognition; natural language processing and recognition; artificial intelligence techniques and recognition.