AG Götze

Main re­se­arch in­te­rests:

• Asym­pto­tic ap­pro­xi­ma­ti­ons of local and glo­bal spec­tra of ran­dom ma­tri­ces and  ana­lo­gues of clas­si­cal limit theo­rems in free non­com­mu­ta­ti­ve pro­ba­bi­li­ty.
• Con­cen­tra­ti­on of me­a­su­re in high-​dimensional pro­ba­bi­li­ty spaces and ma­ni­folds, in par­ti­cu­lar for non li­ne­ar func­tions and en­tro­pic con­ver­gence in the Cen­tral Limit Theo­rem and its asym­pto­tic re­fi­ne­ments.
• Lat­ti­ce point coun­ting pro­blems, dis­tri­bu­ti­on of qua­dra­tic and hig­her order forms on lat­ti­ces, Dio­phan­ti­ne ine­qua­li­ties and ap­pro­xi­ma­ti­ons in metric num­ber theo­ry, cor­re­la­ti­ons in clas­ses of Epstein and Shinta­ni zeta func­tions

 

Re­se­arch pro­jects:

• Re­se­arch pro­ject  "Uni­ver­sal and asym­pto­tic dis­tri­bu­ti­ons in high-​dimensional pro­ba­bi­li­ty and ap­p­li­ca­ti­ons"  in the Col­la­bo­ra­ti­ve Re­se­arch Cent­re 1283 fun­ded by the Ger­man Re­se­arch Founda­ti­on
• Par­ti­ci­pa­ti­on in the In­ter­na­tio­nal Re­se­arch Trai­ning Group 2235 fun­ded by the Ger­man Re­se­arch Founda­ti­on
• Re­se­arch pro­ject "Dis­tri­bu­ti­on and Cor­re­la­ti­on of Ho­mo­ge­ne­ous and Ran­dom Forms" joint­ly with Jörg Brü­dern, Göt­tin­gen, and Va­len­tin Blo­mer, Bonn, fun­ded by the Ger­man Re­se­arch Founda­ti­on

 

Co­ope­ra­ti­ons and co-​authors:

Gre­go­ry A. Mar­gu­lis, Paul Bu­te­rus, Jonas Ja­lo­wy, Hol­ger Sam­ba­le, Ser­gey G. Bob­kov, Gen­na­diy P. Chistya­kov, Ale­xey A. Nau­m­ov, Alex­an­der N. Tik­ho­mi­rov, Anna Gus­a­ko­va, Denis V. Ko­le­da, Dmitry N. Za­po­rozhets, An­d­rei Yu. Zai­tev, Zak­har A. Kab­luch­ko, Va­si­liĭ I. Ber­nik, Yuri V. Prok­ho­rov, Hol­ger Kös­ters, Mind­au­gas Bloz­ne­lis, Vic­tor V. Be­res­ne­vich, Wil­lem R. van Zwet, Al­fre­das Račkaus­kas, Mik­hail I. Gor­din, Franz Merkl, Eva­rist Giné, David M. Mason, Peter J. Bickel, Rabi N. Bh­at­tacha­rya, Ričardas Zi­ti­kis, Chris­ti­an Hipp, Erwin Bol­tau­sen