Content-Type: multipart/mixed; boundary="-------------9810261719228" This is a multi-part message in MIME format. ---------------9810261719228 Content-Type: text/plain; name="98-686.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="98-686.keywords" Decay of Correlations, SRB-measures, hyperbolic dynamics ---------------9810261719228 Content-Type: application/postscript; name="tangent.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="tangent.ps" %!PS-Adobe-2.0 %%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %%Title: tangent.dvi %%Pages: 17 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentPaperSizes: Letter %%EndComments %DVIPSCommandLine: dvips -o tangent.ps tangent %DVIPSParameters: dpi=600, comments removed %DVIPSSource: TeX output 1998.10.26:1320 %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N 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y(for)h(almost)h(ev)m(ery)g Fm(x)h Fn(2)f Fm(M)997 5009 y Fl(0)1077 5042 y Fp(a)g Fo(lum)f Fp(exists.)70 b(F)-8 b(rom)41 b(the)g(construction)f(of)g Fm(\026)g Fp(\(iteration)h(of)f(a)h(smo)s(oth)0 5150 y(measure\))29 b(it)e(follo)m(ws)h(that)g(on)h(suc)m(h)e(a)i Fo(lum)f Fp(the)g(measure)g Fm(\026)g Fp(is)f(absolutely)h(con)m(tin)m (uous.)39 b(This)27 b(concludes)0 5258 y(the)k(pro)s(of)e(of)i(Theorem) f(3\(a\).)42 b(Henceforth)31 b(w)m(e)g(will)d(denote)i(limit)f(p)s(oin) m(ts)g(of)h(\(3\))i(b)m(y)e Fm(\026)3094 5272 y Fc(srb)3207 5258 y Fp(.)p eop %%Page: 9 9 9 8 bop 223 -104 a Fl(ST)-6 b(A)g(TISTICAL)32 b(PR)n(OPER)-6 b(TIES)31 b(OF)g(HYPERBOLIC)f(SYSTEMS)h(WITH)g(T)-6 b(ANGENTIAL)31 b(SINGULARITIES)190 b(9)500 91 y Fp(6.)51 b Fo(Constr)n(uction)33 b(of)g(the)h(hyperbolic)e(set)i Fp(\003)g Fo(and)g(return)f(times)100 253 y Fp(The)39 b(k)m(ey)h(instrumen)m(t)e(in)g([11)q(])i(to)g(obtain)f (exp)s(onen)m(tial)f(deca)m(y)j(of)e(correlations)g(for)g(h)m(yp)s(erb) s(olic)e(dy-)0 361 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