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Direction d'ouvrage

Alessandro Sarti

Lien de l'ouvrage sur le site de l'éditeur

Lectures Notes in Morphogenesis

Collection(s)

Type de norme

Maison d'édition

Auteur(s)

The Economy as a Complex Spatial System

admin — Tue, 09 Jan 2024 15:30:01 +0000

The Economy as a Complex Spatial System

admin mar 09/01/2024 - 15:30

This collected volume represents the final outcome of the COST Action IS1104 “The EU in the new complex geography of economic systems: models, tools and policy evaluation”.

Visualizing the EU as a complex and multi-layered network, the book is organized in three parts, each of them dealing with a different level of analysis: At the macro-level, Part I considers the interactions within large economic systems (regions or countries) involving trade, workers migration, and other factor movements. At the meso-level, Part II discusses interactions within specific but wide-ranging markets, with a focus on financial markets and banking systems. Lastly, at the micro-level, Part III explores the decision-making of single firms, especially in the context of location decisions.

This book is open access under a CC BY-NC 4.0 license.

Sous-titre

Macro, Meso and Micro Perspectives

Centre(s) de recherche/Service(s)

Centre d'analyse et de mathématique sociales - CAMS

Couverture

Mots-clés libres

New Economic Geography;Systemic Risk;Heterogeneous Agents;Complex Networks Analysis;Spatial Econometrics;data-driven science;modeling and theory building

Date de parution

mar 31/07/2018 - 12:00

Type de publication

Springer Proceedings in Complexity

Direction d'ouvrage

Pasquale Commendatore, Ingrid Kubin, Spiros Bougheas, Alan Kirman, Michael Kopel, Gian Italo Bischi

Lien de l'ouvrage sur le site de l'éditeur

Springer Cham

Collection(s)

Type de norme

ISSN

Maison d'édition

Auteur(s)

Pasquale Commendatore

Dynamical Processes on Complex Networks

jpnadal — Thu, 07 Dec 2023 15:21:06 +0000

Dynamical Processes on Complex Networks

jpnadal jeu 07/12/2023 - 15:21

The availability of large data sets has allowed researchers to uncover complex properties such as large-scale fluctuations and heterogeneities in many networks, leading to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. This book presents a comprehensive account of these effects. A vast number of systems, from the brain to ecosystems, power grids and the internet, can be represented as large complex networks. This book will interest graduate students and researchers in many disciplines, from physics and statistical mechanics to mathematical biology and information science. Its modular approach allows readers to readily access the sections of most interest to them, and complicated maths is avoided so the text can be easily followed by non-experts in the subject.

Couverture

Date de parution

sam 01/09/2012 - 12:00

Type de publication

Cambridge University Press

Lien de l'ouvrage sur le site de l'éditeur

Cambridge Univ. Press

Type de norme

ISBN 13

Maison d'édition

Nombre de pages

347

Auteur(s)

Alain Barrat

Marc Barthélemy

Alessandro Vespignani

Morphogenesis and Individuation

jpnadal — Thu, 07 Dec 2023 15:10:15 +0000

Morphogenesis and Individuation

jpnadal jeu 07/12/2023 - 15:10

This contributed volume aims to reconsider the concept of individuation, clarifying its articulation with respect to contemporary problems in perceptual, neural, developmental, semiotic and social morphogenesis. The authors approach the ontogenetical issue by taking into account the morphogenetic process, involving the concept of individuation proposed by Gilbert Simondon and Gilles Deleuze. The target audience primarily comprises experts in the field but the book may also be beneficial for graduate students. The challenge of the genesis and constitution of “units” has always been at the center of philosophical and scientific research. This ontogenetical issue is common to every discipline but it is articulated in different ways: in phenomenology of perception the constitution of perceptual units is at the base of gestalt field theories, in theoretical neuroscience synchronized neural assemblies are considered as correlates of conscious processes, in developmental embryogenesis the constitution of organs is the principle outcome of morphodynamic evolution while in social morphogenesis the constitution of coherent units is common to segmentary, gerarchic and functional differentiation.

Couverture

Date de parution

mer 22/10/2014 - 12:00

Type de publication

Alessandro Sarti, Federico Montanari,Francesco Galofa

Direction d'ouvrage

Lien de l'ouvrage sur le site de l'éditeur

Collection(s)

Maison d'édition

Nombre de pages

222

Auteur(s)

Neuromathematics of Vision

jpnadal — Thu, 07 Dec 2023 14:51:42 +0000

Neuromathematics of Vision

jpnadal jeu 07/12/2023 - 14:51

This book is devoted to the study of the functional architecture of the visual cortex. Its geometrical structure is the differential geometry of the connectivity between neural cells. This connectivity is building and shaping the hidden brain structures underlying visual perception. The story of the problem runs over the last 30 years, since the discovery of Hubel and Wiesel of the modular structure of the primary visual cortex, and slowly cams towards a theoretical understanding of the experimental data on what we now know as functional architecture of the primary visual cortex.
Experimental data comes from several domains: neurophysiology, phenomenology of perception and neurocognitive imaging. Imaging techniques like functional MRI and diffusion tensor MRI allow to deepen the study of cortical structures. Due to this variety of experimental data, neuromathematematics deals with modelling both cortical structures and perceptual spaces.
From the mathematical point of view, neuromathematical call for new instruments of pure mathematics: sub-Riemannian geometry models horizontal connectivity, harmonic analysis in non commutative groups allows to understand pinwheels structure, as well as non-linear dimensionality reduction is at the base of many neural morphologies and possibly of the emergence of perceptual units. But at the center of the neurogeometry is the problem of harmonizing contemporary mathematical instruments with neurophysiological findings and phenomenological experiments in an unitary science of vision.
The contributions to this book come from the very founders of the discipline.

Couverture

Date de parution

jeu 20/02/2014 - 12:00

Type de publication

Lien de l'ouvrage sur le site de l'éditeur

Collection(s)

ISSN

2195-1934

Maison d'édition

Nombre de pages

367

Auteur(s)

Giovanna Citti

Alessandro Sarti

Sparsity

jpnadal — Thu, 07 Dec 2023 14:39:48 +0000

Sparsity

jpnadal jeu 07/12/2023 - 14:39

This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remarkable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants.

This study of sparse structures found applications in such diverse areas as algorithmic graph theory, complexity of algorithms, property testing, descriptive complexity and mathematical logic (homomorphism preservation,fixed parameter tractability and constraint satisfaction problems). It should be stressed that despite of its generality this approach leads to linear (and nearly linear) algorithms.

Jaroslav Nešetřil is a professor at Charles University, Prague; Patrice Ossona de Mendez is a CNRS researcher et EHESS, Paris.

This book is related to the material presented by the first author at ICM 2010.

Sous-titre

Graphs, Structures, and Algorithms

Couverture

Date de parution

mar 24/04/2012 - 12:00

Type de publication

Lien de l'ouvrage sur le site de l'éditeur

ISSN

0937-5511

Maison d'édition

Nombre de pages

459

Auteur(s)

Jaroslav Nešetřil

Patrice Ossona De Mendez

Lieu de publication

Berlin, Heidelberg

Elements of Neurogeometry

jpnadal — Mon, 04 Dec 2023 09:39:57 +0000

Elements of Neurogeometry

jpnadal lun 04/12/2023 - 09:39

This book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells out the geometrical algorithms implemented by this functional architecture, or put another way, the “neurogeometry” immanent in visual perception. Focusing on the neural origins of our spatial representations, it demonstrates three things: firstly, the way the visual neurons filter the optical signal is closely related to a wavelet analysis; secondly, the contact structure of the 1-jets of the curves in the plane (the retinal plane here) is implemented by the cortical functional architecture; and lastly, the visual algorithms for integrating contours from what may be rather incomplete sensory data can be modelled by the sub-Riemannian geometry associated with this contact structure.

As such, it provides readers with the first systematic interpretation of a number of important neurophysiological observations in a well-defined mathematical framework. The book’s neuromathematical exploration appeals to graduate students and researchers in integrative-functional-cognitive neuroscience with a good mathematical background, as well as those in applied mathematics with an interest in neurophysiology.

Sous-titre

Functional Architectures of Vision

Couverture

Date de parution

ven 31/08/2018 - 12:00

Type de publication

Lien de l'ouvrage sur le site de l'éditeur

Collection(s)

Type de norme

ISSN

2195-1934

Maison d'édition

Nombre de pages

379

Auteur(s)

Jean Petitot

Morphogenesis of Spatial Networks

jpnadal — Mon, 04 Dec 2023 09:28:31 +0000

Morphogenesis of Spatial Networks

jpnadal lun 04/12/2023 - 09:28

This book provides the first comprehensive presentation of state-of-the-art knowledge about spatial networks. it covers both empirical results and theoretical models. it addresses a broad audience comprising physicists, geographers, urbanists as well as applied mathematicians. The book presents a truly interdisciplinary approach to the topic.

Couverture

Date de parution

lun 20/08/2018 - 12:00

Type de publication

Page chez Springer Nature

Lien de l'ouvrage sur le site de l'éditeur

Collection(s)

Maison d'édition

Auteur(s)

Marc Barthélemy

Differential Heterogenesis

jpnadal — Thu, 30 Nov 2023 19:30:19 +0000

Differential Heterogenesis

jpnadal jeu 30/11/2023 - 19:30

This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point. The construction of differential assemblages will be introduced in the present study from the mathematical point of view, outlining the heterogeneity of the differential constraints and of the associated phase spaces, that are continuously changing in space and time. If homogeneous constraints well describe a form of swarm intelligence or crowd behaviour, it reduces dynamics to automatisms, by excluding any form of imaginative and creative aspect. With this study we aim to problematize the procedure of homogeneization that is dominant in life and social science and to outline the dynamical heterogeneity of life and its affective, semiotic, social, historical aspects. Particularly, the use of sub-Riemannian geometry instead of Riemannian one allows to introduce disjointed and autonomous areas in the virtual plane. Our purpose is to free up the dynamic becoming from any form of unitary and totalizing symmetry and to develop forms, action, thought by means of proliferation, juxtaposition, and disjunction devices.

After stating the concept of differential heterogenesis with the language of contemporary mathematics, we will face the problem of the emergence of the semiotic function, recalling the limitation of classical approaches (Hjelmslev, Saussure, Husserl) and proposing a possible genesis of it from the heterogenetic flow previously defined. We consider the conditions under which this process can be polarized to constitute different planes of Content (C) and Expression (E), each one equipped with its own formed substances. A possible (but not unique) process of polarization is constructed by means of spectral analysis, that is introduced to individuate E/C planes and their evolution. The heterogenetic flow, solution of differential assemblages, gives rise to forms that are projected onto the planes, offering a first referring system for the flow, that constitutes a first degree of semiosis.

Sous-titre

Mutant Forms, Sensitive Bodies

Couverture

Date de parution

sam 16/07/2022 - 12:00

Type de publication

Lien de l'ouvrage sur le site de l'éditeur

Collection(s)

ISSN

2195-1934

Maison d'édition