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Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method. Also treated are Langevin equations and correlation functions. Nonlinear Fokker-Planck Equations addresses various phenomena such as phase transitions, multistability of systems, synchronization, anomalous diffusion, cut-off solutions, travelling-wave solutions and the emergence of power law solutions. A nonlinear Fokker-Planck perspective to quantum statistics, generalized thermodynamics, and linear nonequilibrium thermodynamics is given. Theoretical concepts are illustrated where possible by simple examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics.

Fokker-Planck equation. --- Stochastic differential equations. --- Differential equations, Nonlinear. --- Nonlinear differential equations --- Nonlinear theories --- Differential equations --- Fokker-Planck equation --- Equation, Fokker-Planck --- Planck-Fokker equation --- Differential equations, Partial --- Stochastic differential equations --- Quantum theory. --- Distribution (Probability theory. --- Mathematical physics. --- Thermodynamics. --- Statistical physics. --- Quantum Physics. --- Complex Systems. --- Probability Theory and Stochastic Processes. --- Mathematical Methods in Physics. --- Statistical Physics and Dynamical Systems. --- Physics --- Mathematical statistics --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Heat --- Heat-engines --- Quantum theory --- Physical mathematics --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Thermodynamics --- Statistical methods --- Mathematics --- Quantum physics. --- Dynamical systems. --- Probabilities. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Statics

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Manuscripts. Epigraphy. Paleography --- Painting --- 091 <41 EDINBURGH> --- 091.31 --- Manuscripts --- -Codices --- Books --- Nonbook materials --- Archival materials --- Charters --- Codicology --- Diplomatics --- Illumination of books and manuscripts --- Paleography --- Transmission of texts --- Handschriftenkunde. Handschriftencatalogi--Verenigd Koninkrijk van Groot-Brittannië en Noord-Ierland--EDINBURGH --- Verluchte handschriften --- Edinburgh University Library --- University of Edinburgh. --- Edinburgh. --- -Handschriftenkunde. Handschriftencatalogi--Verenigd Koninkrijk van Groot-Brittannië en Noord-Ierland--EDINBURGH --- 091.31 Verluchte handschriften --- 091 <41 EDINBURGH> Handschriftenkunde. Handschriftencatalogi--Verenigd Koninkrijk van Groot-Brittannië en Noord-Ierland--EDINBURGH --- -091.31 Verluchte handschriften --- Codices --- Edinburgh University Library. --- University of Edinburgh

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Old French literature --- Christian spirituality --- Alexius [s.] --- French poetry --- Poésie française --- Alexius, --- Legends --- Vie de saint Alexis --- Poésie française

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Compatibilism --- Determinism and free will --- Determinism and indeterminism --- Determinisme en indeterminisme --- Déterminisme et indéterminisme --- Free agency --- Free will and determinism --- Freedom and determinism --- Freedom of the will --- Indeterminism --- Indeterminisme --- Liberty of the will --- Libre arbitre et déterminisme --- Vrije wil --- Vrije wil en determinisme --- Vrijheid van de wil --- Wilsvrijheid --- #GOSA:II.P.AU.3 --- #GOSA:V.Oud.Ari.M --- Determinism (Philosophy) --- Aristoteles --- Augustine Saint, Bishop of Hippo --- -Views on free will. --- Views on free will --- -Aristoteles --- Aristote --- Aristotle --- Aristotile --- Views on free will. --- Akrasia --- Acrasia (Ethics) --- Incontinence (Ethics) --- Ethics --- Aristotle. --- Augustine, --- Avgustin, Blazhennyĭ, --- Augustinus, Aurelius, --- Augustyn, --- Augustin, --- Ughasṭīnūs, --- Agostino, --- Agustí, --- Augoustinos, --- Aurelius Augustinus, --- Augustinus, --- Agustín, --- Aurelio Agostino, --- Episkopos Ippōnos Augoustinos, --- Augoustinos Ipponos, --- Agostinho, --- Aurelli Augustini, --- Augustini, Aurelli, --- Aurelii Augustini, --- Augustini, Aurelii, --- Ōgostinos, --- Agostino, Aurelio, --- אוגוסטינוס הקדוש --- أغسطينوس، --- 奥古斯丁 --- Aristoteles. --- Augustine --- Avgustin, --- Arisṭāṭṭil --- Aristo, --- Aristotel --- Aristotele --- Aristóteles, --- Aristòtil --- Arisṭū --- Arisṭūṭālīs --- Arisutoteresu --- Arystoteles --- Ya-li-shih-to-te --- Ya-li-ssu-to-te --- Yalishiduode --- Yalisiduode --- Ἀριστοτέλης --- Αριστοτέλης --- Аристотел --- ארסטו --- אריםטו --- אריסטו --- אריסטוטלס --- אריסטוטלוס --- אריסטוטליס --- أرسطاطاليس --- أرسططاليس --- أرسطو --- أرسطوطالس --- أرسطوطاليس --- ابن رشد --- اريسطو --- Pseudo Aristotele --- Pseudo-Aristotle --- アリストテレス --- Augustinus, Aurelius --- Agostinho --- Augustine of Hippo --- Augustine d'Hippone --- Agostino d'Ippona --- Augustin d'Hippone --- Augustinus Hipponensis, sanctus --- Sant'Agostino --- Augustinus van Hippo --- Aurelius Augustinus --- Aurelio Agostino --- 聖アウグスティヌス --- アウグスティヌス