Stochastic and Infinite Dimensional Analysis

This volume presents a collection of papers covering applications from a wide range of systems with infinitely many degrees of freedom studied using techniques from stochastic and infinite dimensional analysis, e.g. Feynman path integrals, the statistical

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Christopher C. Bernido Maria Victoria Carpio-Bernido Martin Grothaus Tobias Kuna Maria João Oliveira José Luís da Silva Editors

Stochastic and Infinite Dimensional Analysis

Trends in Mathematics Trends in Mathematics is a series devoted to the publication of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference. Proposals for volumes can be submitted using the Online Book Project Submission Form at our website www.birkhauser-science.com. Material submitted for publication must be screened and prepared as follows: All contributions should undergo a reviewing process similar to that carried out by journals and be checked for correct use of language which, as a rule, is English. Articles without proofs, or which do not contain any significantly new results, should be rejected. High quality survey papers, however, are welcome. We expect the organizers to deliver manuscripts in a form that is essentially ready for direct reproduction. Any version of TEX is acceptable , but the entire collection of files must be in one particular dialect of TEX and unified according to simple instructions available from Birkhäuser. Furthermore, in order to guarantee the timely appearance of the proceedings it is essential that the final version of the entire material be submitted no later than one year after the conference. More information about this series at http://www.springer.com/series/4961

Stochastic and Infinite Dimensional Analysis Christopher C. Bernido • Maria Victoria Carpio-Bernido • Martin Grothaus • Tobias Kuna • Maria JoQao Oliveira • José Luís da Silva Editors

Editors Christopher C. Bernido Research Center for Theoretical Physics Central Visayan Institute Foundation Jagna, Bohol, Philippines

Maria Victoria Carpio-Bernido Research Center for Theoretical Physics Central Visayan Institute Foundation Jagna, Bohol, Philippines

Martin Grothaus Fachbereich Mathematik Technische Universität Kaiserslautern Kaiserslautern, Germany

Tobias Kuna Department of Mathematics and Physics University of Reading Reading, United Kingdom

Maria JoQao Oliveira Universidade Aberta Departamento de Ciências e Tecnologia Lisbon, Portugal

José Luís da Silva Universidade da Madeira Faculdade de Ciências Exatas e da Engenharia Funchal, Madeira, Portugal

ISSN 2297-0215 Trends in Mathematics ISBN 978-3-319-07244-9 DOI 10.1007/978-3-319-07245-6

ISSN 2297-024X (electronic) ISBN 978-3-319-07245-6 (eBook)

Library of Congress Control Number: 2016946343 Mathematics Subject Classification (2010): 60-06, 60HXX, 60H40, 60G22 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or i