, ▁and ▁Jan ▁Ros i ński , ▁B irk h ă user , ▁Springer , ▁Progress ▁in ▁Pro b ability ▁ 7 1 , ▁ 2 0 1 6 , ▁pp .   3 7 – 4 3 . ▁ ▁D ud ley ▁had ▁earlier ▁cred ited ▁Vol ker ▁Str assen ▁with ▁making ▁the ▁connection ▁between ▁entropy ▁and ▁regular ity . ▁ ▁Stat ement ▁of ▁the ▁theorem ▁Let ▁( X t ) t ∈ T ▁be ▁a ▁Gaussian ▁process ▁and ▁let ▁d X ▁be ▁the ▁pseud ometric ▁on ▁T ▁defined ▁by ▁ ▁For ▁ ε   >   0 , ▁denote ▁by ▁N ( T ,   d X ;   ε ) ▁the ▁entropy ▁number , ▁i . e .   the ▁minimal ▁number ▁of ▁( open ) ▁d X - ball s ▁of ▁radius ▁ ε ▁required ▁to ▁cover ▁T . ▁ ▁Then ▁ ▁Furthermore , ▁if ▁the ▁entropy ▁integral ▁on ▁the ▁right - hand ▁side ▁converges , ▁then ▁X ▁has ▁a ▁version ▁with ▁almost ▁all ▁sample ▁path ▁bounded ▁and ▁( uniform ly ) ▁continuous ▁on ▁( T ,   d X ). ▁ ▁References ▁▁▁▁▁ ▁( See ▁chapter ▁ 1 1 ) ▁ ▁Category : Ent ropy ▁Category : The or ems ▁regarding ▁st ochastic ▁processes <0x0A> </s> ▁Audio Sim ▁is ▁a ▁virtual ▁analog ▁software ▁synth es izer . ▁It ▁was ▁released ▁in ▁ 1 9 9 6 ▁by ▁the ▁German - H ung arian ▁software ▁company ▁Audio ▁Sim ulation . ▁It ▁was ▁first ▁available ▁for ▁D OS ▁and ▁supported