Format: Paperback / softback, 101 pages, height x width: 235x155 mm,
1 Illustrations, black and white; XII, 101 p. 1 illus., 1 Paperback / softback
Series: SpringerBriefs in Probability and Mathematical Statistics
Pub. Date: 05-Aug-2023
ISBN-13: 9783031337710
This book offers an introduction to the field of stochastic analysis of Hermite processes. These selfsimilar stochastic processes with stationary increments live in a Wiener chaos and include the fractional Brownian motion, the only Gaussian process in this class.
Using the Wiener chaos theory and multiple stochastic integrals, the book covers the main properties of Hermite processes and their multiparameter counterparts, the Hermite sheets. It delves into the probability distribution of these stochastic processes and their sample paths, while also presenting the basics of stochastic integration theory with respect to Hermite processes and sheets.
The book goes beyond theory and provides a thorough analysis of physical models driven by Hermite noise, including the Hermite Ornstein-Uhlenbeck process and the solution to the stochastic heat equation driven by such a random perturbation. Moreover, it explores up-to-date topics central to current research in statistical inference for Hermite-driven models.
Introduction.
Chapter
1. Multiple Stochastic Integrals.
Chapter
2.
Hermite processes: Definition and basic properties.
Chapter
3. The Wiener
integral with respect to the Hermite process and the Hermite
Ornstein-Uhlenbeck process.
Chapter
4. Hermite sheets and SPDEs.
Chapter
5.
Statistical inference for stochastic (partial) differential equations with
Hermite noise.- References.
Format: Hardback, 200 pages, height x width: 235x155 mm, 83 Illustrations,
color; 35 Illustrations, black and white; X, 200 p. 118 illus., 83 illus. in color., 1 Hardback
Series: Springer INdAM Series 55
Pub. Date: 23-Aug-2023
ISBN-13: 9789819936786
This book collects contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage?MACH2021", held in Rome, Italy in September 2021. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches.
The main topics are corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, and phase transitions.
Introduction Round Table The impact of Covid-19 pandemic on cultural
heritage: from fruition to conservation practises Gabriella Bretti, Cecilia
Cavaterra, Margherita Solci and Michela Spagnuolo
Numerical simulation of the Athens 1999 earthquake including simplified
models of the Acropolis and the Parthenon: initial results and outlook Paola
F. Antonietti, Carlo Cauzzi, Ilario Mazzieri, Laura Melas and Marco
Stupazzin
Randomness in a nonlinear model of sulphation phenomena Francesca Arceci,
Luca Maria Giordano, Mario Maurelli, Daniela Morale and Stefania Ugolini
Automatic description of rubble masonry geometries by machine learning based
approach Antonio Bilotta, Andrea Causin, Margherita Solci and Emilio Turco
Themes and reflections upon structural analysis in the field of archaeology
Roberto Busonera and Alessandra Ten
A model for craquelure: brittle layers on elastic substrates Andrea Braides,
Andrea Causin, and Margherita Solci
From point clouds to 3D simulations of marble sulfation Armando Coco, Silvia
Preda and Matteo Semplice
A semi-analytical approach to approximate chattering time of rocking
structures Anastasios I. Giouvanidis, Elias G. Dimitrakopoulos and Paulo B.
Lourenco
Numerical modelling of historical masonry structures with the finite element
code NOSA-ITACA Maria Girardi, Cristina Padovani, Daniele Pellegrini,
Margherita Porcelli and Leonardo Robol
Mathematical Methods for the Shape Analysis and Indexing of Tangible CH
artefacts Elia Moscoso Thompson, Chiara Romanengo, Andrea Scalas, Chiara E.
Catalano,
Michela Mortara, Silvia Biasotti, Bianca Falcidieno and Michela Spagnuolo
Multiscale carbonation models - a review Adrian Muntean
Forecasting damage and consolidation: mathematical models of reacting flows
in porous media Roberto Natalini
Models and mathematical issues in color film restorations Alice Plutino,
Beatrice Sarti and Alessandro Rizzi
Format: Hardback, 252 pages, height x width: 235x155 mm, 5 Illustrations, color;
16 Illustrations, black and white; XIV, 252 p. 21 illus., 5 illus. in color., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 427
Pub. Date: 04-Sep-2023
ISBN-13: 9783031327063
This proceedings volume presents a selection of peer-reviewed contributions from the Second Non-Associative Algebras and Related Topics (NAART II) conference, which was held at the University of Coimbra, Portugal, from July 18-22, 2022. The conference was held in honor of mathematician Alberto Elduque, who has made significant contributions to the study of non-associative structures such as Lie, Jordan, and Leibniz algebras. The papers in this volume are organized into four parts: Lie algebras, superalgebras, and groups; Leibniz algebras; associative and Jordan algebras; and other non-associative structures. They cover a variety of topics, including classification problems, special maps (automorphisms, derivations, etc.), constructions that relate different structures, and representation theory. One of the unique features of NAART is that it is open to all topics related to non-associative algebras, including octonion algebras, composite algebras, Banach algebras, connections with geometry, applications in coding theory, combinatorial problems, and more. This diversity allows researchers from a range of fields to find the conference subjects interesting and discover connections with their own areas, even if they are not traditionally considered non-associative algebraists. Since its inception in 2011, NAART has been committed to fostering cross-disciplinary connections in the study of non-associative structures.
Part 1: Lie Algebras, Superalgebras and Groups.- 1.Local derivations of
classical simple Lie algebras (S. Ayupov, K. Kudaybergenov).- 2. Examples and
patterns on quadratic Lie algebras (P. Benito and J. Roldan-Lopez).-
3.
Reductive homogeneous spaces of the compact Lie group G2 (C. Draper and F. J.
Palomo).-
4. On certain algebraic structures associated with Lie
(super)algebras(N. Kamiya).-
5. Schreier's type formulae and two scales for
growth of Lie algebras and groups (V. Petrogradsky).- Part 2: Leibniz
Algebras.-
6. Universal central extensions of compatible Leibniz algebras
(J.M.C Miras, M. Ladra).-
7. On some properties of generalized
Lie-derivations of Leibniz algebras (J.M.C Miras, N.P. Rego).-
8.
Biderivations of low-dimensional Leibniz algebras (M. Mancini).-
9. Poisson
structure on the invariants of pairs of matrices (R. Turdibaev).- Part
3.
Associative and Jordan Algebras and Related Structures.-
10. Automorphisms,
derivations and gradings of the split quartic Cayley algebra (V. Blasco and
A. Daza-Garcia).-
11. On a Theorem of Brauer-Cartan-Hua type in superalgebras
(J. Laliena).-
12. Growth functions of Jordan algebras (C. Martinez and E.
Zelmanov).-
13. The image of polynomials in one variable on the algebra of 3
x 3 upper triangular matrices (T.C. de Mello and D.Rodrigues).- Part 4: Other
Nonassociative Structures.- 14. Simultaneous orthogonalization of inner
products over arbitrary fields (Y. Cabrera, C. Gil, D. Martin and C.
Martin).-
15. Invariant theory of free bicommutative algebras (V. Drensky).-
16. An approach to the classification of finite semifields by quantum
computing (J.M.H. Caceres, I.F. Rua).- 17.On ideals and derived and central
descending series of n-ary Hom-algebras (A. Kitouni, S. Mboya, E. Ongong'a,
S. Silvestrov).-
18. Okubo algebras with isotropic norm (A. Elduque).
Format: Hardback, 187 pages, height x width: 235x155 mm, 31 Tables, color; 32 Illustrations,
color; 8 Illustrations, black and white; VIII, 187 p. 40 illus., 32 illus. in color., 1 Hardback
Series: Trends in Mathematics
Pub. Date: 22-Sep-2023
ISBN-13: 9783031363344
This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control & Inverse Problems" held in Monastir, Tunisia in May 2022. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as:
Controllability of dynamical systems Information transfer in multiplier equations Nonparametric instrumental regression Control of chained systems The damped wave equation
Control and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.
Stabilization of one dimensional wave equation with variable potential
and torque.- Controlling a dynamic system through reinforcement learning.-
Landweber iterative method for an inverse source problem of space-fractional
diffusion equations.- On the Spectrum Distribution of Parametric Second-order
Delay Differential Equations. Perspectives in Partial Pole Placement.- Exact
controllability of the linear Biharmonic Schrdinger equation with
space-dependent coefficients.- Carleman estimate and application to the
stabilization of a dissipative hyperbolic system.- On the transfer of
information in multiplier equations.- A Global Carleman Estimates of the
linearized sixth-order 1 D-Boussinesq equation Application.- Nonparametric
instrumental regression via mollification.- Finite-time stabilization of some
classes of infinite dimensional systems.- Dispersion on certain Cartesian
products of graphs.- Tracking Control of Chained Systems: application to
nonholonomic unicycle mobile robots.- A short elementary proof of the
Gearhart-Pruss theorem for bounded semigroups.- Revisit the damped wave
equation.
Format: Hardback, 270 pages, height x width: 235x155 mm, 64 Tables, color; 9 Illustrations,
color; 114 Illustrations, black and white; X, 270 p. 123 illus., 9 illus. in color., 1 Hardback
Series: Trends in Mathematics
Pub. Date: 08-Sep-2023
ISBN-13: 9783031336805
Mark Vishik was one of the prominent figures in the theory of partial differential equations. His ground-breaking contributions were instrumental in integrating the methods of functional analysis into this theory. In this book, friends and pupils of Mark Vishik remember his life and work. From his early years as a student to his connection with the Lwow school of Stephan Banach and to his later career as a respected teacher and mentor, Vishik's legacy is explored in detail. His research and pedagogical work influenced hundreds of undergraduate and graduate students, many of whom went on to become leading figures in their own right. The reader is introduced to a number of remarkable scientists whose lives intersected with Vishik's, including S. Banach, J. Schauder, I. N. Vekua, N. I. Muskhelishvili, L. A. Lyusternik, I. G. Petrovskii, S. L. Sobolev, I. M. Gelfand, M. G. Krein, A. N. Kolmogorov, N. I. Akhiezer, J. Leray, J.-L. Lions, L. Schwartz, L. Nirenberg, and others.
Part I Memoirs.- Notes about my Father. - Mark Iosifovich and Asia
Moiseevna: random reminiscences.- Meetings with Mark Iosifovich Vishik.- My
scientific advisor Mark Iosifovich Vishik. - M. I. Vishik in my life.- Un
grand mathematician, le Professeur Vishik.- Recollections of a former Mechmat
student.- A word about M. I. Vishik.- Mark Iosifovich Vishik.- Teacher and
Friend.- M. I. Vishik.- In Mark Vishik's own words.- Remembering Wladek
Lyantse.- Part II Science.- Symposium in honor of Professor Mark Vishik.
Berlin, 2001.- International Conference, Moscow, 2012.- The Scottish Book,
Problem 192.- General elliptic boundary value problems in bounded domains.-
On the Vishik-Lyusternik method.- Mark Vishik's work on quasilinear
equations.- Attractors for nonlinear nonautonomous equations.- Rigorous
results in space-periodic two-dimensional turbulence.- Attractors of
Hamiltonian nonlinear partial differential equations.- The true story of
Quatum Ergodic Theorem.- Bibliography of Mark Vishik.
Format: Hardback, 390 pages, height x width: 235x155 mm, 90 Tables, color; 88 Illustrations,
color; 36 Illustrations, black and white; X, 390 p. 124 illus., 88 illus. in color., 1 Hardback
Pub. Date: 11-Sep-2023
ISBN-13: 9783031340987
This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. Chapters in this book are based on talks given at the Seventeenth International Conference on Integral Methods in Science and Engineering, held virtually in July 2022, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical, electrical, and petroleum engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential working tool.
Computational modelling based on RIBEM method for the numerical solution
of convection-diffusion equations (Al-Bayati).- Two-operator Boundary-Domain
Integral Equations for Variable-Coefficient Dirichlet Problem in 2D with
General Right-Hand Side (Ayele).- Implementation of Thermal Effects in
Neutron Interactions in a Physical Monte Carlo Simulator (Bodmann).- On the
Parameter Significance in Pandemic Modelling (Bodmann).- On a Variational
Principle for Equilibrium Free Energy Functional of Simple Liquids (Brikov).-
Use of variants of seismic signal approximations by proposed sets of
functions for statistical structural analysis (Brikov).- Topics on Space
Weather: Operational Numerical Prediction for Electron Content (de Campos
Velho).- Ray-tracing the Ulam way (Chappell).- The Robin Boundary Value
Problem for an Unbounded Plate with a Hole (Constanda).- A Mathematical Model
Of Cell Clustering (Harris).- A revisit to a double-periodic perforated
Neumann waveguide: opening spectral gaps (Perez-Martinez).- Spectral
homogenization problems in linear elasticity: the averaged Robin reaction
matrix (Perez-Martinez).- Time harmonic oscillations of a porous-elastic body
with an application to modelling the spinal cord (Harris).- The Poly-Cauchy
Operator, Whitney Arrays, and Fatou Theorems for Polyanalytic Functions in
Uniformly Rectifiable Domains (Mitrea).- The influence of the refractive
index and absorption coefficients in the solution of the radiative conductive
transfer equation in Cartesian geometry (Ladeia).- Boundary Value Problems
for Elliptic Systems onWeighted Morrey Spaces in Rough Domains (M. Mitrea).-
Recipes for Computer Implementation of a Response Matrix Spatial Spectral
Nodal Method for Three-dimensional Discrete Ordinates Neutral Particle
Transport Modeling (Barros).- On Maximum Principles for Weak Solutions of
some Parabolic Systems (Mikhailov).- Boundary integral equations analysis of
bones resorption effect on stresses state near dental implants (Perelmuter).-
Mathematical Modeling of Partially Miscible Water Alternating Gas Injection
Using Geometric Thermodynamic Variables (Puime Pires).- Generalised model of
wear in contact problems: the case of oscillatory load (Ponomarev).- On the
philosophical foundations of an optimization algorithm inspired by human
social behavior under a dynamical status distribution (de Oliveira).- On
applications of the optimization algorithm DySDO (de Oliveira).- On the
influence of the signal to noise ratio on the reconstruction of the
non-linear transfer function in signal amplification (Bodmann).- An Analytic
Solution for the Transient Three-Dimensional Advection-Diffusion Equation
with Non-Fickian Closure by an Integral Transform Technique (Buske).- Failure
Analysis of Composite Pipes Subjected to Bending: Classical Laminated Plate
Theory vs. 3D Elasticity Solution (O. Menshykov).- The analytical formulation
GILTT applied in a model of contaminant transport in porous media (Buske).-
An Existence Result for a Class of Integral Equations via Graph-Contractions
(Younis).- Some Convergence Results on the Periodic Unfolding Operator in
Orlicz Setting (Zappale).- Three-Phase Flow Zero-Net Liquid Holdup in
Gas-Liquid Cylindrical Cyclone (GLCC c ) (Shoham).- Error Propagation in
Dynamic Iterations Applied to Linear Systems of Differential Equations
(Zubik-Kowal).