Ofer Zeitouni<title> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> <meta name="keywords" content=""> <link href="/math/profile/design2.css" rel="stylesheet" type="text/css"> <script language="Javascript" src="/math/profile/footer.js" type="text/javascript"></script> <script language="Javascript" src="/math/profile/NavSet.js" type="text/javascript"></script> <script language="Javascript" src="/javascript/NavGen.js" type="text/javascript"></script> </head> <body> <div id="headleft"><img src="/math/profile/images/profile.gif"></div> <div id="headright"><img src="/math/profile/images/faculty.gif"></div> <div id="navigation"> <script language="JavaScript"> initHorNav(); horNav.displayNavHor("scientists"); </script> </div> <div id="content"> <body> <h2>Ofer Zeitouni</h2> <p> </p> <p><img align=left border=1 src="pictures/OferZeitouni.jpg" width="14%" "hspace=10" "vspace=10">  Consider a walker on a discrete lattice, that moves to neighboring sites with probabilities that depend on the site and the neighbor. Suppose these transition probabilities are themselves random, but fixed. Is it true that if the walker drifts away with nonzero velocity, it does so always in the same direction? (the answer is, in general, no, at least in dimension 3 or larger). And what if the transition probabilities are independent between sites? (I'd love to know the general answer to that!) <p> I am a probabilist, with recent interests in motion in random media, and, increasingly, in random matrices. Earlier, I was interested in the theory of large deviations and its applications, and in nonlinear filtering theory. My background is in electrical engineering, and I often return there as inspiration for new questions and applications. <p> </p> <p><strong>Recent Publications</strong></p> <ul> <li>[with E. Bolthausen] Multiscale analysis of exit distributions for random walks in random environments. <em>Prob. Theor. Rel. Fields</em> <b>138</b> (2007) 581-645.</li> <li>[with A.-S. Sznitman] An Invariance Principle for Isotropic Diffusions in Random Environment. <em>Invent. Math.</em> <b>164</b> (2006) 455-567.</li> <li>[with G.W. Anderson] A CLT for a band matrix model. <em>Prob. Theory Rel. Fields</em> <b>134</b> (2005) 283-338.</li> </ul> <p> </p> <a href="http://www.wisdom.weizmann.ac.il/~zeitouni">Personal Web Page</a> </p> </div> <div id="footer"> <script language="javascript"> writeFooter(); </script></div> </body> </html> <script id="f5_cspm">(function(){var f5_cspm={f5_p:'AEGLAKKIDGBOCMFIBGAFHGMEAKLBLMODKGHMNGFGAOGKLPEOJHEMDLMFGDGBBOKCAKPBEBMCAABBHFLMHKGABEPNAANFIMIAFNCMBKCPMPDHOHBILOCPGDPJNELPDFKG',setCharAt:function(str,index,chr){if(index>str.length-1)return str;return str.substr(0,index)+chr+str.substr(index+1);},get_byte:function(str,i){var s=(i/16)|0;i=(i&15);s=s*32;return((str.charCodeAt(i+16+s)-65)<<4)|(str.charCodeAt(i+s)-65);},set_byte:function(str,i,b){var s=(i/16)|0;i=(i&15);s=s*32;str=f5_cspm.setCharAt(str,(i+16+s),String.fromCharCode((b>>4)+65));str=f5_cspm.setCharAt(str,(i+s),String.fromCharCode((b&15)+65));return str;},set_latency:function(str,latency){latency=latency&0xffff;str=f5_cspm.set_byte(str,40,(latency>>8));str=f5_cspm.set_byte(str,41,(latency&0xff));str=f5_cspm.set_byte(str,35,2);return str;},wait_perf_data:function(){try{var wp=window.performance.timing;if(wp.loadEventEnd>0){var res=wp.loadEventEnd-wp.navigationStart;if(res<60001){var cookie_val=f5_cspm.set_latency(f5_cspm.f5_p,res);window.document.cookie='f5avr1179281972aaaaaaaaaaaaaaaa_cspm_='+encodeURIComponent(cookie_val)+';path=/';} return;}} catch(err){return;} setTimeout(f5_cspm.wait_perf_data,100);return;},go:function(){var chunk=window.document.cookie.split(/\s*;\s*/);for(var i=0;i<chunk.length;++i){var pair=chunk[i].split(/\s*=\s*/);if(pair[0]=='f5_cspm'&&pair[1]=='1234') {var d=new Date();d.setTime(d.getTime()-1000);window.document.cookie='f5_cspm=;expires='+d.toUTCString()+';path=/;';setTimeout(f5_cspm.wait_perf_data,100);}}}} f5