Download or read book Regulators in Analysis Geometry and Number Theory written by Alexander Reznikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of the Workshop on "Regulators in Analysis, Geom etry and Number Theory" held at the Edmund Landau Center for Research in Mathematical Analysis of The Hebrew University of Jerusalem in 1996. During the preparation and the holding of the workshop we were greatly helped by the director of the Landau Center: Lior Tsafriri during the time of the planning of the conference, and Hershel Farkas during the meeting itself. Organizing and running this workshop was a true pleasure, thanks to the expert technical help provided by the Landau Center in general, and by its secretary Simcha Kojman in particular. We would like to express our hearty thanks to all of them. However, the articles assembled in the present volume do not represent the proceedings of this workshop; neither could all contributors to the book make it to the meeting, nor do the contributions herein necessarily reflect talks given in Jerusalem. In the introduction, we outline our view of the theory to which this volume intends to contribute. The crucial objective of the present volume is to bring together concepts, methods, and results from analysis, differential as well as algebraic geometry, and number theory in order to work towards a deeper and more comprehensive understanding of regulators and secondary invariants. Our thanks go to all the participants of the workshop and authors of this volume. May the readers of this book enjoy and profit from the combination of mathematical ideas here documented.
Download or read book The Regulators of Beilinson and Borel written by José Ignacio Burgos Gil and published by American Mathematical Soc.. This book was released on 2002 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a complete proof of the fact that Borel's regulator map is twice Beilinson's regulator map. The strategy of the proof follows the argument sketched in Beilinson's original paper and relies on very similar descriptions of the Chern-Weil morphisms and the van Est isomorphism. The book has two different parts. The first one reviews the material from algebraic topology and Lie group theory needed for the comparison theorem. Topics such as simplicial objects, Hopfalgebras, characteristic classes, the Weil algebra, Bott's Periodicity theorem, Lie algebra cohomology, continuous group cohomology and the van Est Theorem are discussed. The second part contains the comparison theorem and the specific material needed in its proof, such as explicit descriptions of theChern-Weil morphism and the van Est isomorphisms, a discussion about small cosimplicial algebras, and a comparison of different definitions of Borel's regulator.
Download or read book Regulators written by José Ignacio Burgos Gil and published by American Mathematical Soc.. This book was released on 2012 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Regulators III Conference, held from July 12 to July 22, 2010, in Barcelona, Spain. Regulators can be thought of as realizations from motivic cohomology, which is very difficult to compute, to more computable theories such as Hodge, Betti, l-adic, and Deligne cohomology. It is a very intricate subject that thrives on its interaction with algebraic K-theory, arithmetic geometry, number theory, motivic cohomology, Hodge theory and mathematical physics. The articles in this volume are a reflection of the various approaches to this subject, such as results on motivic cohomology, descriptions of regulators, a revisiting of a number of fundamental conjectures (such as new results pertaining to the Hodge and standard conjectures), and more.
Download or read book Arithmetic L Functions and Differential Geometric Methods written by Pierre Charollois and published by Springer Nature. This book was released on 2021-05-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of the conference “Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods” that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the front most developments in the field of regulator maps. Key topics covered are: • Additive polylogarithms • Analytic torsions • Chabauty-Kim theory • Local Grothendieck-Riemann-Roch theorems • Periods • Syntomic regulator The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best, F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault, W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk.
Download or read book Mathematical Methods of Investigating Automatic Regulation Systems written by Vladimir Ivanovich Zubov and published by . This book was released on 1961 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Experimental and Mathematical Analysis of Regulatory Networks in T helper Lymphocytes written by Edda G. Schulz and published by Logos Verlag Berlin GmbH. This book was released on 2010 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, an interdisciplinary approach combining dynamic quantitative measurements with mathematical modelling is used to solve two different problems in molecular immunology. In the first part, structure and function of the gene-regulatory network that controls differentiation of type I T-helper (Th1) cells is investigated. By determining the network structure through an iterative process of modelling and experiments, the author shows that Th1 differentiation proceeds in two steps: In the early effector phase, the Th1 master transcription factor T-bet is controlled by an interferon-? dependent positive feedback loop, while in the later phase a second IL-12 dependent feedback maintains T-bet expression. The antigen signal acts as a switch between the two pathways. Moreover, it is shown that only T-bet expression in the late phase is predictive of the success of the differentiation process. Since T-bet expression in the late phase requires IL-12 stimulation, this work uncovers the molecular mechanisms behind the unique role of IL-12 in Th1 differentiation. In the second part, regulation of the transcription factor NFAT that mediates antigenic stimulation in T-cells is investigated. NFAT is activated by nuclear import upon dephosphorylation of multiple residues. Based on simultaneous measurements of NFAT subcellular localization and phosphorylation, a quantitative mathematical model of the NFAT regulatory network is developed and the underlying design principles are analyzed. In summary, the study exemplifies the necessity of a dynamic analysis at the systems level to understand complex biological processes.
Download or read book Simple Mathematical Models of Gene Regulatory Dynamics written by Michael C. Mackey and published by Springer. This book was released on 2016-11-09 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. The notes commence with an introduction to the deterministic modeling of gene-networks, with extensive reference to applicable results coming from dynamical systems theory. The second part of the notes treats extensively several approaches to the study of gene-network dynamics in the presence of noise—either arising from low numbers of molecules involved, or due to noise external to the regulatory process. The third and final part of the notes gives a detailed treatment of three well studied and concrete examples of gene-network dynamics by considering the lactose operon, the tryptophan operon, and the lysis-lysogeny switch. The notes contain an index for easy location of particular topics as well as an extensive bibliography of the current literature. The target audience of these notes are mainly graduates students and young researchers with a solid mathematical background (calculus, ordinary differential equations, and probability theory at a minimum), as well as with basic notions of biochemistry, cell biology, and molecular biology. They are meant to serve as a readable and brief entry point into a field that is currently highly active, and will allow the reader to grasp the current state of research and so prepare them for defining and tackling new research problems.
Download or read book A Practical Guide to Geometric Regulation for Distributed Parameter Systems written by Eugenio Aulisa and published by CRC Press. This book was released on 2015-06-18 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Practical Guide to Geometric Regulation for Distributed Parameter Systems provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infinite-dimensional systems. The book also introduces several new control algorithms inspired by geometric invariance and asymptotic attraction for a wid
Download or read book Mathematical modelling and electrophysiological monitoring of the regulation of cochlear amplification written by Greg A. O'Beirne and published by The University of Western Australia. This book was released on 2005-08-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cochlea presumably possesses a number of regulatory mechanisms to maintain cochlear sensitivity in the face of disturbances to its function. Evidence for such mechanisms can be found in the time-course of the recovery of CAP thresholds during experimental manipulations, and in observations of slow oscillations in cochlear micromechanics following exposure to low-frequency tones (the “bounce phenomenon”) and other perturbations. To increase our understanding of the these oscillatory processes within the cochlea, and OHCs in particular, investigations into cochlear regulation were carried out using a combination of mathematical modelling of the ionic and mechanical interactions likely to exist within the OHCs, and electrophysiological experiments conducted in guinea pigs. The electrophysiological experiments consisted of electrocochleographic recordings and, in some cases, measurement of otoacoustic emissions, during a variety of experimental perturbations, including the application of force to the cochlear wall, exposure to very-low-frequency tones, injection of direct current into scala tympani, and intracochlear perfusions of artificial perilymph containing altered concentrations of potassium, sodium, and sucrose. To obtain a panoramic view of cochlear regulation under these conditions, software was written to enable the interleaved and near-simultaneous measurement of multiple indicators of cochlear function, including the compound action potential (CAP) threshold, amplitude and waveshape at multiple frequencies, the OHC transfer curves derived from low-frequency cochlear microphonic (CM) waveforms, distortion-product otoacoustic emissions (DPOAEs), the spectrum of the round-window neural noise (SNN), and the endocochlear potential (EP). The mathematical model takes into account the known electrical properties of OHC, and includes the effect of fast and slow-motility of the cell body on transducer operating point and apical conductance. Central to the operation of the model is a putative intracellular 2nd-messenger system based on cytosolic calcium, which is involved in regulation of i) the operating point of OHC MET channels via slow motility and axial stiffness; ii) the permeability of the basolateral wall to potassium (via calcium-sensitive potassium channels); and iii) the cytosolic concentration of calcium itself, via modulation of its own sequestration into (and release from) intracellular storage organelles, and extrusion from the cell. The model was constructed in a manner which allowed simulation of different cochlear perturbations, and the comparison of results from these simulations to experimental data. The mathematical model we have developed provided a physiologically-plausible and internally-consistent explanation for the time-courses of the cochlear changes observed during a number of different perturbations. We show that much of the oscillatory behaviour within the cochlea is consistent with underlying oscillations in cytosolic calcium concentration. We conclude that a number of the discrepancies between the simulation results and the experimental data can be resolved if the cytosolic calcium functions as two distinct pools: one which controls basolateral permeability and one which controls slow motility. This two-calcium-pool model is discussed.
Download or read book Handbook of Self Regulation of Learning and Performance written by Dale H. Schunk and published by Routledge. This book was released on 2011-05-15 with total page 1003 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-regulated learning (or self-regulation) refers to the process whereby learners personally activate and sustain cognitions, affects, and behaviours that are systematically oriented toward the attainment of learning goals. This is the first volume to integrate into a single volume all aspects of the field of self-regulation of learning and performance: basic domains, applications to content areas, instructional issues, methodological issues, and individual differences. It draws on research from such diverse areas as cognitive, educational, clinical, social, and organizational psychology. Distinguishing features include: Chapter Structure – To ensure uniformity and coherence across chapters, each chapter author addresses the theoretical ideas underlying their topic, research evidence bearing on these ideas, future research directions, and implications for educational practice. International – Because research on self-regulation is increasingly global, a significant number of interntional contributors are included (see table of contents). Readable – In order to make the book accessible to students, chapters have been carefully edited for clarity, conciseness, and organizational consistency. Expertise – All chapters are written by leading researchers from around the world who are highly regarded experts on their particular topics and are active contributors to the field.
Download or read book Bulletin No 1 3 written by Illinois Miners' and Mechanics' Institutes and published by . This book was released on 1914 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Controllability Stabilization and the Regulator Problem for Random Differential Systems written by Russell Johnson and published by American Mathematical Soc.. This book was released on 1998 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume develops a systematic study of time-dependent control processes. The basic problem of null controllability of linear systems is first considered. Using methods of ergodic theory and topological dynamics, general local null controllability criteria are given. Then the subtle question of global null controllability is studied. Next, the random linear feedback and stabilization problem is posed and solved. Using concepts of exponential dichotomy and rotation number for linear Hamiltonian systems, a solution of the Riccati equation is obtained which has extremely good robustness properties and which also preserves all the smoothness and recurrence properties of the coefficients. Finally, a general version of the local nonlinear feedback stabilization problem is solved.
Download or read book Economics and social regulation written by and published by . This book was released on 1908 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Steklov Institute of Mathematics written by and published by . This book was released on 2000 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Announcement for Autumn written by and published by . This book was released on 1907 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Announcement for Autumn written by Lewis Institute of Arts and Sciences and published by . This book was released on 1907 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book University of Illinois Bulletin written by and published by . This book was released on 1914 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
