Topologies of group algebras and a theorem of Littlewood
Sigurđur
Helgason
269-283
Collineations and generalized incidence matrices
D. R.
Hughes
284-296
Peano spaces which are either strongly cyclic or two-cyclic
G. Ralph
Strohl
297-308
On the fundamental theorems of the calculus
István S.
Gál
309-320
On the continuity and limiting values of functions
István S.
Gál
321-334
L'\'etude de l'\'equation $du/d\tau=A(\tau)u$ pour certaines classes d'op\'erateurs non born\'es de l'espace de Hilbert
C.
Foiaş;
Gh.
Gussi;
V.
Poenaru
335-347
Characteristic classes of homogeneous spaces
Alfred
Adler
348-365
The classification of birth and death processes
Samuel
Karlin;
James
McGregor
366-400
The cyclotomic numbers of order sixteen
Albert Leon
Whiteman
401-413
Spectral theory for operators on a Banach space
Errett
Bishop
414-445
The approximate functional equation of Hecke's Dirichlet series
T. M.
Apostol;
Abe
Sklar
446-462
On order-preserving integration
R. R.
Christian
463-488
Some generalizations of full normality
M. J.
Mansfield
489-505
A note on summability methods and spectral analysis
Carl S.
Herz
506-510
Some limit theorems for nonhomogeneous Markoff processes
A.
Fuchs
511-531
Abstract: We intend to study some problems related to the asymptotic behaviour of a physical system the evolution of which is markovian. The typical example of such an evolution is furnished by an homogeneous discrete chain with a finite number of possible states considered first by A. A. Markoff. In §1 we recall briefly the main results of this theory and in §2 we treat its obvious generalization to the continuous parameter case. In §3 we pass to the proper object of this paper and we establish a limit theorem for time-homogeneous Markoff processes. This limit theorem is then extended to the nonhomogeneous case under some supplementary conditions (§4). Finally we give an application of this theory to random functions connected with a Markoff process (§5).