Copyright 2027
Hardback
ISBN 9781041353980
508 Pages
October 28, 2026 1
Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces provides a concise yet thorough exploration of almost periodic functions in locally convex spaces and their applications. The book examines abstract Volterra integro-differential-difference inclusions, the multidimensional vector-valued Laplace transform, and the dynamical properties of... Read more
1. Preliminaries
PART I. GENERALIZED ALMOST PERIODIC FUNCTIONS WITH VALUES IN LOCALLY CONVEX SPACES
2. Generalized almost periodic functions in locally convex spaces and applications
PART II. ABSTRACT VOLTERRA INTEGRO-DIFFERENTIAL-DIFFERENCE INCLUSIONS IN LOCALLY CONVEX SPACES
3. Abstract fractional difference inclusions in locally convex spaces
4. Abstract Volterra integro-differential inclusions on the real line neutral stochastic impulsive equations with fractional Brownian motion
5. Weight sequence systems, abstract Cauchy problems and applications
PART III. MULTIDIMENSIONAL VECTOR-VALUED LAPLACE TRANSFORM AND ITS APPLICATIONS
6. Multidimensional vector-valued Laplace transform
7. Multidimensional (a, k)-regularized C-resolvent solution operator
families and multidimensional generalized Laplace fractional derivatives
8. Abstract Volterra integro-differential inclusions with multiple variables
9. Higher-dimensional linear topological dynamics
Copyright 2027
ISBN 9781032412863
256 Pages 53 B/W Illustrations
An Introduction to Applied Bayesian Methods is a concise yet comprehensive guide designed to help readers master the fundamentals of Bayesian statistical modeling. This book bridges the gap between theory and application, offering practical insights into Bayesian methods through real-world examples and hands-on coding exercises. Covering topics such as regression, hierarchical models, and meta-analysis, it equips readers with the tools to implement Bayesian approaches using R and Stan, making it an essential resource for modern data analysis.
As data complexity grows, traditional frequentist approaches often fall short in flexibility and interpretability. This book, on the other hand, provides a probabilistically consistent framework that adapts seamlessly to complex problems. It emphasizes practical application, showing how Bayesian models can handle variability, uncertainty, and predictive challenges in ways that are both intuitive and robust. Whether you're analyzing textbook prices, soil moisture, or multivariate data, this book demonstrates the power of Bayesian thinking. Supplemental Nimble code is also available online, offering additional flexibility for readers.
This book is ideal for advanced undergraduate students, researchers, and professionals in statistics and related fields. If you have a basic understanding of Bayesian principles and want to deepen your knowledge with practical examples, this book is for you. It’s also a valuable resource for educators teaching applied Bayesian methods.
Comprehensive coverage of Bayesian regression and hierarchical models.
Practical examples using R and Stan code.
Step-by-step guidance on model comparison and predictive analysis.
Includes detailed visual representations for interpreting complex data.
Clear explanations of posterior distributions and uncertainty visualization.
Accessible for both beginners and experienced practitioners.
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Preface I Getting Our Bearings 1 Why Bayes 2 A Brief Look Under the Hood 3 Appropriate Chains and Inference II Building Our Base 4 Two Independent Groups 5 Cell Means Model 6 Linear Regression 7 Multiple Regression 8 Cell Means Redux 9 Regression with Binary Data III Getting Specific 10 Multiple Sources of Variability 11 Censored Data 12 Meta-analysis 13 Multivariate Data 14 Miscellaneous Problems Bibliography Index
This memoir introduces a new algebraic notion: that of a triangulated persistence category (TPC), which refines the notion of a triangulated category in the same sense that a persistence module refines that of a vector space. The spaces of morphisms of such a TPC are persistence modules, and the category is endowed with a class of weighted distinguished triangles. Under favourable conditions, we show that the derived Fukaya category admits a TPC refinement, and we apply this to deduce a global rigidity result for spaces of compact, exact Lagrangians in certain Liouville manifolds: we construct a metric on this space with intrinsic symplectic properties.
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Abstract
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Contents
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1 Introduction
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2 Triangulation persistence categories: Algebra 101
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3 Triangulated persistence Fukaya categories
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References
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Applications of Noncommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time cover
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Noncommutative geometry has emerged over the past decades as a powerful conceptual and technical framework for extending the methods of geometry and topology to contexts where the classical notion of space-time, described in terms of smooth manifolds, is no longer adequate. Motivated both by internal developments in mathematics and by profound questions arising in modern theoretical physics, noncommutative geometry provides a unifying language in which algebraic, analytic, and geometric ideas are deeply intertwined. In particular, it offers new perspectives on gauge theories, quantum field theories, and the structure of space-time at the Planck scale, where quantum and gravitational effects are expected to become inseparable.
The central idea of noncommutative geometry is to replace the algebra of functions on a space by a noncommutative algebra, thereby encoding geometric information in purely algebraic and spectral terms. This paradigm shift allows one to generalize notions such as metrics, connections, curvature, and topological invariants to settings far beyond classical geometry. Spectral triples, cyclic cohomology, and operator-algebraic methods play a fundamental role in this approach, providing tools that are well adapted to the analysis of quantum systems and field-theoretic models.
The present volume explores this framework through a series of contributions that address, from complementary viewpoints, the application of noncommutative geometry to gauge theories, quantum field theories, and models of quantum space-time. Each contribution combines mathematical rigor with physical motivation, emphasizing both conceptual clarity and technical depth.
Front matter
pp. i–iv
Front matter
pp. v–vi
Preface
pp. vii–ix
Contents
pp. 1–11
Introduction
Ali H. ChamseddineAlain ConnesMasoud KhalkhaliJoseph Kouneiher
DOI 10.4171/ELM/37/1
pp. 13–38
The spectral approach as an organizing principle of the laws of nature
Joseph Kouneiher
DOI 10.4171/ELM/37/2
pp. 39–76
Zeta spectral triples
Alain ConnesCaterina ConsaniHenri Moscovici
DOI 10.4171/ELM/37/3
pp. 77–157
Hearing the shape of the universe: A personal journey in noncommutative geometry
Ali H. Chamseddine
DOI 10.4171/ELM/37/4
pp. 159–212
Bootstrapping noncommutative geometry with Dirac ensembles
Masoud KhalkhaliNathan Pagliaroli
DOI 10.4171/ELM/37/5
pp. 213–313
Symmetric spaces, non-formal star-products and Drinfel’d twists
Pierre Bieliavsky
DOI 10.4171/ELM/37/6
pp. 315–388
Noncommutative geometry of gravity, strings and fields: A panoramic overview
Richard J. Szabo
DOI 10.4171/ELM/37/7
p. 389
List of contributors
This volume presents the outcomes of the workshop “Modeling, Analysis, and Control of Multi-Agent Systems Across Scales”, held at the Centro De Giorgi (Pisa) from 22 to 26 January 2024. The event served as a place for exchanging ideas, presenting recent advances, and fostering new collaborations in an area that spans multiple branches of mathematics.
The workshop objectives were two-fold. First, to promote scholarly exchange and establish new collaborations among participants, especially between leading experts and young researchers in mathematical analysis, numerical analysis, and mathematical physics with interests in multi-agent systems. Second, to catalyse interaction across different areas: modelling (in physics, biology, social dynamics), rigorous analysis (mean-field and hydrodynamic limits, well-posedness, stability), control (controllability, steering, optimal control), and computational methods (simulation, optimisation, uncertainty quantification).
pp. i–iv
Front matter
pp. vii–x
Contents
pp. xi–xiii
Introduction
pp. 1–14
Full synchronization in a Kuramoto mean field game
Annalisa Cesaroni
DOI 10.4171/ECR/23/1
pp. 15–36
Second-order swarming model: Large-time behavior and uniform-in-time mean-field limit
Young-Pil ChoiSihyun Song
DOI 10.4171/ECR/23/2
pp. 37–54
Propagation of chaos for topological models without regularity
Marta MenciThierry PaulStefano Rossi
DOI 10.4171/ECR/23/9
pp. 55–78
Non-local dissipative Aw–Rascle model and its relation with matrix-valued communication in Euler alignment
Nilasis ChaudhuriJan PeszekMaja SzlenkEwelina Zatorska
DOI 10.4171/ECR/23/12
pp. 79–99
Controllability and kinetic limit of spherical particles immersed in a viscous fluid
Marta ZoppelloHenry ShumMarco Morandotti
DOI 10.4171/ECR/23/13
pp. 101–133
Deterministic particle method for nonlinear nonlocal scalar balance equations
Emanuela RadiciFederico Stra
DOI 10.4171/ECR/23/8
pp. 135–174
Kinetic models for optimization: A unified mathematical framework for metaheuristics
Giacomo BorghiMichael HertyLorenzo Pareschi
DOI 10.4171/ECR/23/6
pp. 175–194
Localized kinetic-based optimization with genetic dynamics for multi-modal optimization
Federica FerrareseClaudia Totzeck
DOI 10.4171/ECR/23/10
pp. 195–218
Multi-fidelity and multi-level Monte Carlo methods for kinetic models of traffic flow
Elisa IacominiLorenzo Pareschi
DOI 10.4171/ECR/23/5
pp. 219–255
Patterns in the Keller–Segel system with density cut-off
Benoît PerthameMingyue Zhang
DOI 10.4171/ECR/23/7
pp. 257–275
Derivation of macroscopic epidemic models from multi-agent systems
Mattia Zanella
DOI 10.4171/ECR/23/11
pp. 277–297
Voter demographics and socio-economic factors in kinetic models for opinion formation
Bertram DüringOliver Wright
DOI 10.4171/ECR/23/4
pp. 299–382
A review of mechanistic and data-driven models of terrorism and radicalization
Yao-Li ChuangMaria R. D’Orsogna
DOI 10.4171/ECR/23/3
pp. 383–385
List of contributors
In this memoir, we develop a theory of bordered HF
−
using the link surgery formula of Manolescu and Osváth. We interpret their link surgery complexes as type-D modules over an associative algebra K, which we introduce. We prove a connected sum formula, which we interpret as an A
∞
-tensor product over our algebra K. Topologically, this connected sum formula may be viewed as a formula for gluing along torus boundary components.
We discuss several important examples. As a basic example, if K
1
and K
2
are knots in S
3
, and Y is obtained by gluing the complements of K
1
and K
2
together using an orientation reversing diffeomorphism of their boundaries, then our theory may be used to compute CF
−
(Y) from CFK
∞
(K
1
) and CFK
∞
(K
2
). By computing the type-D modules for rationally framed solid tori, our theory gives a version of the link surgery formula for rationally framed links. As a final example, we use our theory to derive the Heegaard Floer homology of all 3-manifolds which bound the plumbing of a tree of disk bundles over 2-spheres.
Front matter
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Abstract
Download p. v
Contents
Download pp. vii–x
1 Introduction
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2 Hypercubes and Heegard Floer homology
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3 A
∞
-modules
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4 Homological perturbation theory
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5 Linear topological spaces
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6 The link surgery formula
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7 The knot surgery algebra
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8 Link surgery modules over K and L
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9 σ-basic system of Heegard diagrams
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10 Hypercubes and disjoint unions
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11 Hypercubes and connected sums
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12 The pairing theorem
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13 Arc systems and the link surgery formula
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14 The alpha-beta transformer
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15 The pair-of-pants bimodules
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16 The link surgery complex of the Hopf link
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17 Minimal models for the Hopf link surgery complex
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18 Examples and basic properties
Download pp. 233–249
A Splicing operations
Download pp. 251–252
References
Download pp. 253–255
This memoir provides a generalization of the authors' previous work on Bellman functions for integral functionals on BMO. Those Bellman functions are the minimal locally concave functions on parabolic strips in the plane. We describe an algorithm for constructing minimal locally concave functions on a planar domain that is a difference of two unbounded convex domains. This leads to many sharp estimates for functions in the classes like BMO, A
p
, or the Gehring classes.
Frontmatter
Download pp. i–iv
Abstract
Download p. v
Contents
Download p. vii
1 Introduction
Download pp. 1–10
2 Setting and sketch of proof
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3 Patterns for Bellman candidates
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4 Evolution of Bellman candidates
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5 Optimizers
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Index
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Index of symbols
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References
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*
Astérisque | 2026
Géométrisation de la correspondance de Langlands locale
Consulter un extrait
Année : 2026
Tome : 466
Class. Math. : 11S37, 14D24, 14G22, 11F85, 11S31
Nb. de pages : 674
ISBN : 978-2-37905-230-9
DOI : 10.24033/ast.1270
Dans ce texte, suivant les idées du premier auteur, nous développons les fondations du programme de Langlands géométrique sur la courbe de Fargues–Fontaine. Pour cela, nous définissons et étudions le champ des G-fibrés sur cette même courbe, G étant un groupe réductif sur un corps p-adique. Nous définissons une catégorie dérivée des faisceaux ℓ-adiques sur ce champ et construisons sur cette même catégorie une action spectrale monoïdale des complexes parfaits sur le champ des paramètres de Langlands associé au choix de G. Un des outils principaux est la construction d’une équivalence de Satake géométrique dans ce cadre. Comme application nous construisons les paramètres de Langlands semi-simples associés aux représentations lisses irréductibles du groupe réductif p-adique G. Plus généralement, nous construisons un morphisme du centre spectral, l’anneau des fonctions sur l’espace de modules grossier des paramètres de Langlands, vers le centre de Bernstein usuel.
Paperback
This book provides a systematic exposition of the methods of algebraic topology in the context of graph theory. Its primary goal is to demonstrate how homotopy theory and homology theory can be adapted to discrete structures and applied to investigate the fundamental properties of graphs. The book is intended for graduate students and researchers interested in algebraic topology, topological data analysis, graph theory, and related areas of discrete mathematics.
Publication Information
Publisher
International Press of Boston, Inc.
Pages
240
Publish Date ISBN-13 Medium Binding Size Publish Status
2026-08-05 978-1-57146-610-5 Print Paperback 7” x 10” In Print
2026-08-05 978-1-57146-611-2 eBook - - In Print