02473cam  22004218i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000240016208200170018610000300020324501290023326300090036226400610037130000340043233600260046633700280049233800270052049000740054750400410062150507640066250600500142653300950147653800360157158800470160765000210165465000300167565000260170565000380173170000360176977601540180585600440195985600480200320277908RPAM20180122162236.0m      b    000 0 cr/|||||||||||180122s2018    riu     ob    000 0 eng    a9781470442644 (online)  aDLCbengerdacDLCdRPAM00aQA274.46b.S56 201800a519.2/362231 aShmerkin, Pablo,eauthor.10aSpatially independent Martingales, intersections, and applications /h[electronic resource] cPablo Shmerkin, Ville Suomala.  a1801 1aProvidence, RI :bAmerican Mathematical Society,c[2018]  a1 online resource (pages cm.)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1195  aIncludes bibliographical references.00tChapter 1. IntroductiontChapter 2. NotationtChapter 3. The settingtChapter 4. Hčolder continuity of intersectionstChapter 5. Classes of spatially independent martingalestChapter 6. A geometric criterion for Hčolder continuitytChapter 7. Affine intersections and projectionstChapter 8. Fractal boundaries and intersections with algebraic curvestChapter 9. Intersections with self-similar sets and measurestChapter 10. Dimension of projections:Applications of Theorem 4.4tChapter 11. Upper bounds on dimensions of intersectionstChapter 12. Lower bounds for the dimension of intersections, and dimension conservationtChapter 13. Products and convolutions of spatially independent martingalestChapter 14. Applications to Fourier decay and restriction1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2018  aMode of access : World Wide Web  aDescription based on print version record. 0aRandom measures. 0aMartingales (Mathematics) 0aStochastic processes. 0aIntersection theory (Mathematics)1 aSuomala, Ville,d1980-eauthor.0 iPrint version: aShmerkin, Pablo,tSpatially independent Martingales, intersections, and applications /w(DLC)   2017054242x0065-9266z97814704268804 3Contentsuhttp://www.ams.org/memo/1195/4 3Contentsuhttps://doi.org/10.1090/memo/1195