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- Jürgen Gärtner (* 1950) ist ein deutscher Mathematiker (Stochastik, Analysis) und Hochschullehrer an der TU Berlin. Gärtner wurde 1976 bei Mark Freidlin an der Lomonossow-Universität promoviert (О логарифмической асимптотике вероятностей больших уклонений.). 1984 habilitierte er sich in Berlin (Dissertation B: Zur Ausbreitung von Wellenfronten für Reaktions-Diffusions-Gleichungen). Er war an der Akademie der Wissenschaften der DDR in Berlin und ist Professor an der TU Berlin. Von ihm stammen wichtige Beiträge zur Theorie großer Abweichungen (Large Deviation Principle, LDP), zur KPP-Gleichung (1982), LDP für McKean-Vlasov-Prozesse (1987 bis 1989 mit Don Dawson) und zum parabolischen Anderson-Modell (mit Stanislaw Alexejewitsch Moltschanow, ab 1990) und dessen Intermittenz-Verhalten. 1977 bewies er eine allgemeine Form des Satz von Cramér in der LD-Theorie, als Gärtner-Ellis LDP bekannt (Richard S. Ellis lieferte 1984 einen Beweis unter schwächeren Voraussetzungen). 1987 führte er mit Don Dawson die Konstruktion eines projektiven Limes in der LDP ein. 1994 war er eingeladener Sprecher auf dem Internationalen Mathematikerkongress in Zürich (Parabolic systems in random media and aspects of intermittency). (de)
- Jürgen Gärtner (born 1950 in Reichenbach, Oberlausitz) is a German mathematician, specializing in probability theory and analysis. Gärtner graduated in 1973 with Diplom from TU Dresden. He received in 1976 his Ph.D. from Lomonosov University under the supervision of Mark Freidlin. At the Weierstrass Institute, Gärtner was from 1976 to 1985 a research associate; he habilitated there in 1984 with Dissertation B: Zur Ausbreitung von Wellenfronten für Reaktions-Diffusions-Gleichungen (The propagation of wave fronts for reaction-diffusion equations). At the Weierstrass Institute he was from 1985 to 1995 the head of the probability group. He was a professor of the Academy of Sciences of the GDR from 1988 until its disbandment in late 1991. At TU Berlin he was from 1992 to 2011 a professor, retiring as professor emeritus in 2011. In 1977 he proved a general form of Cramér's Theorem in the theory of large deviations (LD); the theorem is known as the Gärtner-Ellis Large Deviations Principle (LDP). (Richard S. Ellis proved the theorem in 1984 with weaker premises.) In 1982 Gärtner wrote an important paper on the famous KPP equation (a semi-linear diffusion equation introduced in 1937). In 1987 Gärtner, with Donald A. Dawson, introduced the construction of a projective limit in the LDP. From 1987 to 1989 Gärtner and Dawson wrote a series of important papers on the McKean-Vlasov process. Their results were extended by other mathematicians in the 1990s to random mean-field interactions and to spin-glass mean-field interactions. In 1990 Gärtner and Molchanov wrote a seminal paper on intermittency in the parabolic Anderson model; the paper introduced a new approach to intermittency via the study of Lyapunov coefficients. Gärtner was a member from 1984 to 1992 of the editorial board of Probability Theory and Related Fields and from 1990 to 2000 of the editorial board of Mathematische Nachrichten. In 1992 Gärtner was an invited lecturer at the first European Congress of Mathematics in Paris. In 1994 he was an invited speaker with talk Parabolic Systems in Random Media and Aspects of Intermittency at the International Congress of Mathematicians in Zurich. A conference was held in honor of his 60th birthday. (en)
- Jürgen Gärtner (Reichenbach, Oberlausitz, 1950) é um matemático alemão, especialmente interessado sobre estocástica e análise, professor da Universidade Técnica de Berlim. Gärtner obteve um doutorado em 1976 na Universidade Estatal de Moscou, orientado por Mark Freidlin, com a tese On the logarithmic asymptotics of large deviation probabilities). Obteve em 1984 a habilitação em (Zur Ausbreitung von Wellenfronten für Reaktions-Diffusions-Gleichungen). Foi palestrante convidado do Congresso Internacional de Matemáticos em Zurique (1994: Parabolic systems in random media and aspects of intermittency). (pt)
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- Jürgen Gärtner (* 1950) ist ein deutscher Mathematiker (Stochastik, Analysis) und Hochschullehrer an der TU Berlin. Gärtner wurde 1976 bei Mark Freidlin an der Lomonossow-Universität promoviert (О логарифмической асимптотике вероятностей больших уклонений.). 1984 habilitierte er sich in Berlin (Dissertation B: Zur Ausbreitung von Wellenfronten für Reaktions-Diffusions-Gleichungen). Er war an der Akademie der Wissenschaften der DDR in Berlin und ist Professor an der TU Berlin. (de)
- Jürgen Gärtner (born 1950 in Reichenbach, Oberlausitz) is a German mathematician, specializing in probability theory and analysis. Gärtner graduated in 1973 with Diplom from TU Dresden. He received in 1976 his Ph.D. from Lomonosov University under the supervision of Mark Freidlin. At the Weierstrass Institute, Gärtner was from 1976 to 1985 a research associate; he habilitated there in 1984 with Dissertation B: Zur Ausbreitung von Wellenfronten für Reaktions-Diffusions-Gleichungen (The propagation of wave fronts for reaction-diffusion equations). At the Weierstrass Institute he was from 1985 to 1995 the head of the probability group. He was a professor of the Academy of Sciences of the GDR from 1988 until its disbandment in late 1991. At TU Berlin he was from 1992 to 2011 a professor, retir (en)
- Jürgen Gärtner (Reichenbach, Oberlausitz, 1950) é um matemático alemão, especialmente interessado sobre estocástica e análise, professor da Universidade Técnica de Berlim. Gärtner obteve um doutorado em 1976 na Universidade Estatal de Moscou, orientado por Mark Freidlin, com a tese On the logarithmic asymptotics of large deviation probabilities). Obteve em 1984 a habilitação em (Zur Ausbreitung von Wellenfronten für Reaktions-Diffusions-Gleichungen). (pt)
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- Jürgen Gärtner (de)
- Jürgen Gärtner (en)
- Jürgen Gärtner (pt)
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