Lorenz Kramer Memorial Lecture

This year, the 9th Lorenz Kramer Memorial Lecture is given by Professor Ehud Meron of the Ben Gurion University (Israel) on Thursday late afternoon in conncetion with the international conference XXXIV Dynamics Days Europe which take place in Bayreuth this year.

With this annual lecture, the Departmen of Physics at the University of Bayreuth acknowledges the outstanding contributions of Professor Lorenz Kramer to Nonlinear Science.


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Self-organization processes leading to pattern formation phenomena are ubiquitous in nature. Cloud streets, sand ripples, stone patterns and animal-coat patterns are a few examples. Intensive theoretical and experimental research efforts during the past few decades have resulted in a mathematical theory of pattern formation whose predictions are well confirmed by controlled laboratory experiments. There is increasing observational evidence that pattern formation also plays an important role in shaping water-limited landscapes. Depending on the rainfall regime, self-organized vegetation patchiness in the form of nearly periodic spot, stripe and gap patterns has been reported. Supporting these observations are studies of spatially explicit vegetation models that have reproduced many of the observed patterns. In this talk I will review the state of art in studies of vegetation pattern formation, and delineate manners by which pattern formation processes can affect ecosystem response to environmental changes. The latter include gradual and incipient regime shifts induced by droughts and disturbances, resilient restoration of degraded vegetation as a spatial resonance problem, and mechanisms of species coexistence in stressed environments.

Ehud Meron


The support of the Memorial Lectures given by the Emil Warburg Foundation is gratefully acknowledges.

See also: http://kramer.physik.uni-bayreuth.de

Universität Bayreuth