Andrea Mondino's Books

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

By: Luigi Ambrosio,Andrea Mondino,Giuseppe Savaré

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Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

By: Luigi Ambrosio,Andrea Mondino,Giuseppe Savaré

The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces (X,d,m). On the geometric side, the authors' new approach takes into account suitable weighted action functionals which provide the natural modulus of K-convexity when one investigates the convexity properties of N-dimensional entropies. On the side of diffusion semigroups and evolution variational inequalities, the authors' new approach uses the nonlinear diffusion semigroup induced by the N-dimensional entropy, in place of the heat flow. Under suitable assumptions (most notably the quadraticity of Cheeger's energy relative to the metric measure structure) both approaches are shown to be equivalent to the strong CD∗(K,N) condition of Bacher-Sturm.

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Page Count

134

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470439131

ISBN 13

9781470439132

Books of the Body

Anatomical Ritual and Renaissance Learning

By: Andrea Carlino

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Books of the Body

Anatomical Ritual and Renaissance Learning

By: Andrea Carlino

We usually see the Renaissance as a marked departure from older traditions, but Renaissance scholars often continued to cling to the teachings of the past. For instance, despite the evidence of their own dissections, which contradicted ancient and medieval texts, Renaissance anatomists continued to teach those outdated views for nearly two centuries. In Books of the Body, Andrea Carlino explores the nature and causes of this intellectual inertia. On the one hand, anatomical practice was constrained by a reverence for classical texts and the belief that the study of anatomy was more properly part of natural philosophy than of medicine. On the other hand, cultural resistance to dissection and dismemberment of the human body, as well as moral and social norms that governed access to cadavers and the ritual of their public display in the anatomy theater, also delayed anatomy's development. A fascinating history of both Renaissance anatomists and the bodies they dissected, this book will interest anyone studying Renaissance science, medicine, art, religion, and society.

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Page Count

281

Publisher

University of Chicago Press

Published Date

ISBN 10

0226092879

ISBN 13

9780226092874

Psychoanalysis, Identity, and the Internet

Explorations into Cyberspace

By: Andrea Marzi

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Psychoanalysis, Identity, and the Internet

Explorations into Cyberspace

By: Andrea Marzi

This book is comprehensive and profound, concrete and symbolic, a Herculean integration of the technical and the psychoanalytic. It explains technology and definitions of cyberspace, virtual reality, and social media, and presents the view that technology is a destructive force in psychoanalysis.

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Page Count

197

Publisher

Routledge

Published Date

ISBN 10

0429917864

ISBN 13

9780429917868

Perinatal Neuroradiology

From the Fetus to the Newborn

By: Fabio Triulzi,Cristina Baldoli,Cecilia Parazzini,Andrea Righini

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Perinatal Neuroradiology

From the Fetus to the Newborn

By: Fabio Triulzi,Cristina Baldoli,Cecilia Parazzini,Andrea Righini

The novel aim of this book is to illustrate the MR imaging features of the fetal and the neonatal brain by matching prenatal and postnatal images for a wide range of neurological abnormalities. The focus is on both conventional and advanced MR imaging techniques, including high-resolution MR autopsy of the fetal brain. During the past ten years, neuroradiological evaluation of the neonatal and the prenatal brain has advanced tremendously. However, even though they are intrinsically related, these two critical stages in brain development are usually studied and presented separately. In order to have a sound understanding of neonatal brain diseases, detailed knowledge of prenatal brain pathology is immensely helpful; conversely, knowledge of neonatal brain disease is a prerequisite for understanding many fetal brain lesions. Written by experts in the field, Perinatal Neuroradiology will be of value for neuroradiologists and pediatric radiologists, as well as obstetricians and neonatologists.

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Page Count

272

Publisher

Springer

Published Date

ISBN 10

8847053250

ISBN 13

9788847053250

Theories for Everything

An Illustrated History of Science from the Invention of Numbers to String Theory

By: John Langone,Bruce Stutz,Andrea Gianopoulos

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Theories for Everything

An Illustrated History of Science from the Invention of Numbers to String Theory

By: John Langone,Bruce Stutz,Andrea Gianopoulos

Provides behind-the-scenes accounts of some of history's greatest science discoveries.

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Page Count

416

Publisher

National Geographic Books

Published Date

ISBN 10

0792239121

ISBN 13

9780792239123

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

By: Luigi Ambrosio,Andrea Mondino,Giuseppe Savaré

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Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

By: Luigi Ambrosio,Andrea Mondino,Giuseppe Savaré

Aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces (X,d,m). On the geometric side, our new approach takes into account suitable weighted action functionals which provide the natural modulus of K-convexity when one investigates the convexity properties of N-dimensional entropies. On the side of diffusion semigroups and evolution variational inequalities, our new approach uses the nonlinear diffusion semigroup induced by the N-dimensional entropy, in place of the heat flow. Under suitable assumptions (most notably the quadraticity of Cheeger's energy relative to the metric measure structure) both approaches are shown to be equivalent to the strong CD*(K,N) condition of Bacher-Sturm.

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Solve jigsaw puzzle

Age

Page Count

121

Published Date

ISBN 10

1470455137

ISBN 13

9781470455132

Book's by Andrea Mondino

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

Books of the Body

Books of the Body

Psychoanalysis, Identity, and the Internet

Psychoanalysis, Identity, and the Internet

Perinatal Neuroradiology

Perinatal Neuroradiology

Theories for Everything

Theories for Everything

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

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