Journal of the Royal Statistical Society: Series B (Methodological)Volume 11, Issue 2 p. 230-264 Article Stochastic Processes and Population Growth David G. Kendall, David G. Kendall Magdalen College, OxfordSearch for more papers by this author David G. Kendall, David G. Kendall Magdalen College, OxfordSearch for more papers by this author First published: July 1949 https://doi.org/10.1111/j.2517-6161.1949.tb00032.xCitations: 97AboutPDF ToolsExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Citing Literature Volume11, Issue2July 1949Pages 230-264 RelatedInformation 

Stochastic Processes and Population Growth

Some of the present results describe new phenomena, whereas others are refinements of known theorems. While they deal with the limiting behavior of certain functionals of the partial sums, they appear to be of a type which cannot be reduced to the study of a functional of the Wiener process. With the exception of Theorem 6, nothing but (1) will be assumed about the common distribution of the Xit We define the probabilities:

/pdf/some-probability-limit-theorems-2bps1y2ouc.pdf

Some probability limit theorems

Between June 1940 and the end of 1944, a large part of France (and even the whole of France after November 1942) was occupied and adminstrated by the Germans. In the present paper, we present some aspects of the mathematical life in France during this difficult period. We try to illustrate that in institutional life as well as in scientific aspects, one can find a wide range of behaviours adopted by actors who try to adapt to the new situation in the best possible way.

https://hal.archives-ouvertes.fr/hal-01360876/document

The difficulties of scientific life in occupied France

This is an article on mathematical publishing during the German occupation of France. Looking at the cases of four of them and especially at the case of Jacques Feldbau (one of the founders of the theory of fibre bundles), we investigate the way censorship struck the French mathematicians who declared jewish by the Statut des juifs of october 1940, and the strategies these mathematicians then developed. The way the Vichy laws have been discussed and applied at the Acad\'emie des sciences is investigated.

pdf/publier-sous-l-occupation-i-autour-du-cas-de-jacques-feldbau-knw444xscd.pdf

Publier sous l'Occupation I. Autour du cas de Jacques Feldbau et de l'Acad\'emie des sciences

This work is addressed to a wide range of scientists who approach the research of the human brain from different points of view. Our main point is that no matter of the angle of approach in the brain research, a scientist has to be aware of the physical possibility of working of the brain. We describe this possibility by modeling the brain as light. The essential physical property of this model is fractality. It will be physically explained for the light itself and then applied as such to the brain. The main brain functions: the memory, acquiring information, and handling this information are then explained as scale transient fractal phenomena. This physical model is thereby useful in guiding any research on brain, no matter of its nature.

/pdf/physical-principles-in-revealing-the-working-mechanisms-of-2aybzh2edd.pdf

Physical Principles in Revealing the Working Mechanisms of Brain, Part One

Un théorème d'invariance projective relatif au mouvement brownien

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Un théorème d'invariance projective relatif au mouvement brownien