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Record Nr. |
UNINA9910788841403321 |
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Autore |
Felʹshtyn Alexander <1952-> |
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Titolo |
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2000 |
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ISBN |
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Descrizione fisica |
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1 online resource (165 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 699 |
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Disciplina |
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Soggetti |
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Functions, Zeta |
Fixed point theory |
Piecewise linear topology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 147, number 699 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy"" |
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" |
""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative |
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endomorphism""; ""2.3.4 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - second proof""; ""2.3.5 Connection of the Reidemeister zeta function with the Lefschetz zeta function of the dual map""; ""2.4 Endomorphisms of finite groups""; ""2.5 Endomorphisms of the direct sum of a free Abelian and a finite group""; ""2.6 Endomorphisms of nilpotent groups"" |
""2.6.1 Functional equation""""2.7 The Reidemeister zeta function and group extensions""; ""2.8 The Reidemeister zeta function of a continuous map""; ""2.8.1 The Reidemeister zeta function of a continuous map and Serre bundles""; ""3 The Nielsen zeta function""; ""3.1 Radius of Convergence of the Nielsen zeta function""; ""3.1.1 Topological entropy""; ""3.1.2 Algebraic lower estimation for the Radius of Convergence""; ""3.2 Nielsen zeta function of a periodic map""; ""3.3 Orientation-preserving homeomorphisms of a compact surface"" |
""3.3.1 Geometry of the Mapping Torus and Radius of Convergence""""3.4 The Jiang subgroup and the Nielsen zeta function""; ""3.5 Polyhedra with finite fundamental group""; ""3.6 Nielsen zeta function in other special cases""; ""3.6.1 Pseudo-Anosov homeomorphism of a compact surface""; ""3.7 The Nielsen zeta function and Serre bundles""; ""3.8 Examples""; ""4 Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions""; ""4.1 Reidemeister and Nielsen zeta functions modulo a normal subgroup"" |
""4.1.1 Radius of Convergence of the mod K Nielsen zeta function"" |
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2. |
Record Nr. |
UNINA9910161649903321 |
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Autore |
Mark A. Williams |
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Titolo |
Facing the Other: Novel Theories and Methods in Face Perception Research |
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Pubbl/distr/stampa |
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Descrizione fisica |
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1 online resource (369 p.) |
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Collana |
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Frontiers Research Topics |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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We rely heavily on faces during social interactions. Humans possess the ability to recognise thousands of people very quickly and accurately without effort. The serious social difficulties that follow abnormalities of the face recognition system (i.e., prosopagnosia) strongly underline the importance of typical face skills in our everyday life. Over the last fifty years, research on prosopagnosia, along with research in the healthy population, has provided insights into the cognitive and neural features behind typical face recognition. This has also been achieved thanks to non-invasive neuroimaging techniques such as functional Magnetic Resonance Imaging (fMRI), Electroencephalography (EEG), Magnetoencephalography (MEG), Diffusion Tensor Imaging (DTI) and Transcranial Magnetic Stimulation (TMS). However, there is still much debate about the cognitive and neural mechanisms of face perception. In the current Research Topic we plan to gather experimental works, opinions, commentaries, mini-reviews and reviews that focus on new or novel theories and methods in face perception research. Where is the field at the moment? Do we need to re-think the experimental procedures we have adopted so far? Again, what kind of techniques (or combination of them) and analysis methods will be important in the future? From the experimental point of view we encourage both behavioural and neuroimaging contributions (e.g., fMRI, EEG, MEG, DTI and TMS). Despite the main emphasis on face perception, memory and identification, we will also consider original works that focus on other |
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aspects of face processing, such as expression recognition, attractiveness judgments and face imagery. In addition, animal investigations and experimental manipulations that alter face recognition abilities in typical human subjects (e.g., hypnosis) are also welcome. Overall, we are proposing a Research Topic that looks at face processing using different perspectives and welcome contributions from different domains such as psychology, neurology, neuroscience, cognitive science and philosophy. The current Research Topic evolved over the desire to acknowledge the relatively recent loss of three giants in the field: Drs. Shlomo Bentin, Truett Allison and Andy Calder. We dedicate this Research Topic to them and their pioneering studies. |
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