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2GIDEONAMIRANDORIGUREL-GUREVICHallregulartrees.Forunimodulargraphsthefollowingsymmetryprincipleholds:MassTransportPrinciple:LetG=(V;E)beaunimodulargraph,andassumeF:VV![0;1]isautomorphisminvariant(i.e.F(
v;
y)=f(x;y)forany
2Aut(G)),thenforanyv2VwehaveXw2V

2GIDEONAMIRANDORIGUREL-GUREVICHallregulartrees.Forunimodulargraphsthefollowingsymmetryprincipleholds:MassTransportPrinciple:LetG=(V;E)beaunimodulargraph,andassumeF:VV![0;1]isautomorphisminvariant(i.e.F( v; y)=f(x;y)forany 2Aut(G)),thenforanyv2VwehaveXw2V

conchita-marotz
5 Slides

4GIDEONAMIRANDORIGUREL-GUREVICHcallxv;0acandidate....

:FinitesetSym(
):Symmetricgroupon
Sym(n):Symmetricgrouponf1;2;:::;ng

:FinitesetSym( ):Symmetricgroupon Sym(n):Symmetricgrouponf1;2;:::;ng

tawny-fly
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Notation Denition SSym( )sharplytransitive:Foran...

or,equivalently,limn!1Pr�Xn+zp

or,equivalently,limn!1PrXn+zp

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n=1(z)whichisthe(asymptotic)probabilityinthetai...

$Ex.2.NNN.Thismaylookcounterintutiveat rst:thereare\justasmany$

Ex.2.NNN.Thismaylookcounterintutiveatrst:thereare\justasmany"ordere

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2S.CAENEPEEL,J.VERCRUYSSE,ANDSHUANHONGWANGconnectingbimodulesbecomescl

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4S.CAENEPEEL,J.VERCRUYSSE,ANDSHUANHONGWANGleftA-mo...

TheactionofthemappingclassgrouponthepantscomplexUteWolfAbstract:Forany

TheactionofthemappingclassgrouponthepantscomplexUteWolfAbstract:Forany

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Figure1:S-moveandA-movef\r1;\r2g|f\r1;\r3g|f\r3;\r...

AHYPERBOLICDIFFEOMORPHISMWITHCOUNTABLYMANYERGODICCOMPONENTSNEARIDENTIT

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PersuasionfortheLongRun3JamesBestyDanielQuigleyzDecember92016LastUpda

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3SpecialthankstoBillZameforhisinvaluablehelponTheo...

LearningBoundsforImportanceWeighting

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