ISSN:0010-3640    

DOI:10.1002/cpa.3160471202

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160471203

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIn the context of the min‐max approach to critical point theory, but without the usual compactness assumptions à la Palais‐Smale and the nondegeneracy conditions à la Fredholm, we constructalmost criticalpoints with two‐sided estimates on theirapproximate Morse indiceswhich are arbitrarily close to certain—a priori given—dualsets. This additional topological and analytical information about almost critical sequences can sometimes be crucial in the proof of their convergence and therefore in solving the corresponding variational problem. © 1994 John Wil

ISSN:0010-3640    

DOI:10.1002/cpa.3160471204

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractWe derive a large deviation principle governing the position of ad‐dimensional Brownian motion moving in a Poissonian potential. The derivation of this large deviation principle, and the form of the rate function rely on a result similar to the “shape theorem” of first passage percolation. This result produces certain constants which play in this multidimensional situation a similar role as the Lyapounov exponents in the one‐dimensional case. The large deviation principle enables us to investigate the transition of regime, which occurs between the small ∣h∣ and the large ∣h∣ case, for Brownian motion with a constant drifthmoving in the same potential. © 1994 John

ISSN:0010-3640    

DOI:10.1002/cpa.3160471205

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160471201

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY