\References{refsNoise}{15aug2003}

\begin{thebibliography}{99}
{\small

%from refs.all, Predrag's combined nonlinear bibliography   Sep 24 2003

\bibitem{vKampen81} N. G. van Kampen, 
	{\em Stochastic Processes in Physics and Chemistry} 
	(North Holland, Amsterdam, 1981).

\bibitem{Rysken89} H. Risken, % (Hannes), 1934-
	{\em The Fokker-Planck equation: 
	methods of solution and applications},
	(Springer-Verlag, New York, 1989). 
	% 472 p. : ill. ; 25 cm.
	% Call Number: 	QC20.7 .D5 R57 1989

\bibitem{DR94} W. Dittrich and M. Reuter,
	{\em Classical and Quantum Dynamics: 
	From Classical Paths to Path Integrals}
	(Springer-Verlag, Berlin 1994).

\bibitem{LifPit} E.M. Lifshitz and L.P. Pitaevskii,
        {\em Physical Kinetics} (Pergamon, London 1981).

\bibitem{ItzDrouf91} C. Itzykson and J.-M. Drouffe,
	{\em Statistical field theory}, vols. 1, 2
	(Cambridge U. Press, 1991).

\bibitem{Ambeg96} V. Ambegaokar, % Vinay Ambegaokar
	{\em Reasoning about luck; probability and its uses in physics}
	(Cambridge Univ. Press, Cambridge 1996).

% the mid point rule for the discretization.
\bibitem{Sakita85} B. Sakita,
	{\em Quantum theory of many variable systems and fields},
	(World Scientific, Singapore 1985).

\bibitem{UFM63} G.E. Uhlenbeck, G.W. Ford and E.W. Montroll,
        {\em Lectures in Statistical Mechanics}
        (Amer. Math. Soc.,  Providence R.I., 1963).

\bibitem{Kac46} M. Kac, 
	``Random walk and the theory of Brownian motion'', (1946),
        reprinted in ref.~\cite{Wax}.

\bibitem{Wax} N. Wax, ed.
        {\em Selected Papers on Noise and Stochastic Processes}
        (Dover, New York 1954).

\bibitem{nelson85} E. Nelson , 
        {\em Quantum Fluctuations} (Princeton Univ. Press 1985)

\bibitem{16Baladi} H. Kunita,
	{\em Stochastic Flows and Stochastic Differential Equations}
	(Cambridge Univ. Press, Cambridge 1990).

	
\bibitem{HakenM-K81} H. Haken and G. Mayer-Kress,
	% ``Chapman-Kolmogorov Eq. and .. ''	
        {\em Z. f. Physik \bf B 43}, 185 (1981).
	% study of iterated mappings with additive/multiplicative
	% noise. Write Chapman-Kolmogorov equation (say that the Fokker-Planck
	% is inadequate) which is what we would call ``Fokker-Planck'',
	% say that is is of form of a Fredholm integral equation.
	% Iterated, they call it path integral similar to the one
	% introduced in \cite{SWM}. Very formal, we do not need it.

\bibitem{Roncad95} M. Roncadelli,
	% ``Small-fluctuation expansion ...'',
        {\em Phys. Rev. \bf E 52}, 4661 (1995).
	% rewrites  Fokker-Planck in terms of Wiener-Onsager-Mahlup
	% Lagrangian; constructs weak diffusion coefficient
	% saddle-point expansion; writes transport equations for
	% higher order coefficients. Might be a useful reference

\bibitem{Ryskin97} G. Ryskin,
	% ``Simple procedure for correcting equations of evolution:
	%   Application to Markov processes'',
        {\em Phys. Rev. \bf E 56}, 5123 (1997).
	% says Kramers-Moyal expansion, Fokker-Planck equation not right
	% proposes alternative equation which is Galilean invariant.
	% Looks pretty formal.

\bibitem{Onsager53} L.~Onsager and  S.~Machlup,
	% ``Fluctuations and Irreversible Processes",
	 {\em Phys. Rev. \bf 91}, 1505, 1512 (1953).


%%%%%%%%%%%%%%%%%%%%%% GOZZI-ana %%%%%%%%%%%%%%%%%%%%%%

%Ennio Gozzi 	%3 nov 1992
%The lie-derivative is formula 20, and how it comes from
%the Dirac deltas is briefly explained in the formulas which lead
%to it or in 
\bibitem{GRT89} E. Gozzi, M. Reuter and W.D. Thacker,
	{\em Phys. Rev. \bf D 40}, 3363 (1989).

\bibitem{GRT90} E. Gozzi and M. Reuter,
	{\em Phys. Lett. \bf 233B}, 383 (1989); {\bf 238B}, 451 (1990);
	{\bf 240B},  137 (1990).

\bibitem{GRT92a} E. Gozzi, M. Reuter and W. D. Thacker,
	{\em Phys. Rev. \bf D 46}, 757 (1992).

\bibitem{GRT92b} E. Gozzi, M. Reuter and W. D.T hacker
	{\em Chaos, Solitons and Fractals \bf 2}, 441 (1992).

%The reason we get connection to the Liaupunov exponents is because 
%this formalism is similar to the Stochastic one of
\bibitem{benz85} Benzi et al., 
	{\em Jour. Phys. \bf A 18}, 2157 (1985).

\bibitem{graham88} R. Graham,  {\em Europhys. Lett. \bf 5}, 101 (1988).

\bibitem{GraTel87} R. Graham and T. Tel,
	{\em Phys. Rev. A \bf 35}, 1382 (1987).
        % Fogedby: Fokker-Planck plus kaos. Graham forudgriber
        % nogle af de ting jeg har arbejdet med, men forsoeger ikke
        % at lave feltteori.

	% there exists a special class of generalized Lyapunov exponents
	% which acquires a natural interpretation in terms of
	% this supersymmetric field theory.
\bibitem{BPPV} R. Benzi, G. Paladin, G. Parisi and A. Vulpiani, 
	{\em J. Phys. \bf A 18}, 2157 (1985).

% the concept of Lyapunov exponents generalized 
% to stochastic systems
\bibitem{LArnold86} L. Arnold and V. Wihstutz,
	{\em Lyapunov exponents}, 
	{\em Lecture Notes in Math. \bf 1186}
	(Springer-Verlag, New York 1986). 

\bibitem{FeigTsve82} M. V. Feigelman and A. M. Tsvelik,
	{\em Sov.Phys.JETP \bf 56}, 823 (1982).
\bibitem{ParSour82} G. Parisi and N. Sourlas,
	{\em Nucl. Phys. \bf B206}, 321 (1982).
\bibitem{Langou82} F. Langouche et al.,
	{\em Functional integration and semiclassical expansion},
	(Reidel, Dordrecht  1982).
% that stochastic systems with a Langevin dynamics can be formulated via
% path-integrals and, once the noise is integrated away, they are
% equivalent to a one-dimensional supersymmetric field theory. 

%%%%%%%%%%%%%%%%%%%%%% GOZZI-ana FINISHED %%%%%%%%%%%%%%%%%%%%%%

\bibitem{CK97} O. Cepas and J. Kurchan,
     ``Canonically invariant formulation of Langevin
                        and Fokker-Planck equations'',
     {\em European Phys. J. \bf B 2}, 221 (1998),
     {\tt cond-mat/9706296}

% \bibitem{LM94} A. Lasota and M. MacKey, 
% 	{\em Chaos, Fractals, and Noise; Stochastic Aspects of Dynamics}
% 	(Springer, Berlin 1994)

	}% end \small
\end{thebibliography}
