
benoit mandelbroat

benoit bii. mandelbroat (20 november 1924-14 october 2010) polish-janminchina french-american ganita shaastravetta mariyu aacharanaatmaka saastraalalo vistruta aasaktulu kaligina bahusastravetta, mukhyamgaa bhouthika drugvishayam yokka "kathinata kala" mariyu "jeevitamlo aniyantrita amsam" anie ayana perkonna daaniki sambandhinchi. athanu tananu taanu "fractalist" gaa paerkonnaadu mariyu fractal jyaamiti rangamlo thana krushiki gurtimpu pondaadu, indulo "fractal" anae padaanni roopondinchadam, alaage prakrutilo "kathinatvam mariyu sweeya-saaruupyata" siddhaantaanni abhivruddhi cheyadam vantivi unnaayi.
1936loe, 11 samvatsaraala vayassulo, mandelbroat mariyu athani kutumbam polandloni warsa nundi fraansku valasa vacchaaru. rendava prapancha yuddham mugisina taruvaata, mandelbroat ganitaanni abhyasinchaadu, paris mariyu united states looni vishwavidyaalayaala nundi pattabhadrudayyaadu mariyu california institute off technology nundi aeronaticslo masters degreeni pondaadu. athanu thana kereerlo ekkuva bhaagam united states mariyu france rendintiloonuu gadipadu, dwandwa french mariyu american pourasatvam kaligi unnadu. 1958loe, athanu ibmlo 35 samvatsaraala vruttini praarambhinchaadu, akkada athanu ibm phelo ayyadu mariyu haarvard vishwavidhyaalayamlo bodhinchadaaniki kramaanugatamgaa selavu teesukunnadu. harwardlo, yuu paie thana adhyayanam prachurana taruvaata.ess. patthi bhavishyat kuu sambandhinchi vastuvula marketlu, ayana aardhika shaastram mariyu anuvartita saastraalanu bodhinchaaru.
ibm computerlaku praapyata kaaranamgaa, fractal rekhaganita chitraalanu roopondinchadaaniki mariyu pradarsinchadaaniki computer graphicsnu upayoginchina modativaarilo mandelbroat okaru, idhi 1980loe mandelbroat setnu kanugonadaaniki daariteesindi. saadhaarana niyamaala nundi drushya sanklishtatanu elaa srushtinchavachho athanu choopinchaadu. saadhaaranamgaa "kathinamainavi", "gandaragolamgaa" ledhaa "astavyastamainavi" gaa pariganinchabade meghalu ledhaa teerapraantaalu vanti vishayalu vaastavaaniki "kramam yokka sthaayi" kaligi unnayani ayana chepparu. ganitam, jyaamiti-kendrikruta parisoedhanaloo ganaanka bhouthika shaastram, vaataavarana shaastram, jala shaastram, bhuuruupa shaastram, shareera nirmaana shaastram, vargeekarana shaastram, naraala shaastram, bhaashaashaastram, samachara saanketikata, computer graphics, aardhika shaastram, bhoogarbha shaastram, vaidyam, bhouthika vishwodbhava shaastram, injaneering, gandaragolam siddhaantam, aardhika bhouthika shaastram, loha shaastram, saamaajika saastraalu vanti rangaalaku ayana chesina krushi unnaayi.
thana kereer mugimpulo, athanu yael vishwavidhyaalayamlo ganita saastraala sterling professorga unnadu, akkada athanu yael charitralo padaveekaalam pondina atyanta vruddha professor.
mandelbroat pasiphik vaayuvya jaateeya prayogasaala, university lille nord dii france, institute pharr advanced studdy mariyu center national dii laa research scientific laloe kooda padavulu nirvahinchaaru. thana vrutti jeevitamlo, athanu 15 kii paiga gourava doctoratelanu andukunnadu mariyu aneka sains journalslo panicheesaadu, aneka avaardulanu geluchukunnadu. ayana aatmakatha, "dhi frectalist memorial off eah scientific maverick", 2012loe maranaanantaram prachurinchabadindi.
prarambha samvatsaraalu.
benedict mandelbroat rendava polish republic samayamlo warsa loe lithuvanian yoodu kutumbamlo janminchaadu. athani tandri thana jeevana vyapara dustulanu tayaruchesevadu; athani talli dantha vaidyuraalu. athani modati rendu paatasaala samvatsaraallo, raayi neerchukoevadaanni asahyinchukunna oka maama ataniki praivetgaa sikshana ichchaaru "naa samayanni chaalaavaraku chadarangam adatam, maplu chadavadam mariyu naa chuttoo unna pratidaanikii kallu elaa teravaalo neerchukoevadam vantivi gadipanu."1936loe, ayana 11 samvatsaraala vayasulo, aaa kutumbam polland nundi fraansku valasa vachindi. rendava prapancha yuddham, mariyu athani tandri sodarudu, ganita shaastravetta sjolem mandelbrozt (1920 loe paarisku vellina) prabhavam praamaanika vidyanu marinta nirodhinchaayi. "naa tallidandrulu, aardhika mariyu raajakeeya saranaarthulugaa, fraanslooni sjolemlo cheradam maa praanaalanu kaapaadindi" anie ayana raasaaru.
mandelbroat rendava prapancha yuddham praarambhamayye varaku paarislooni lysie rolin (ippudu college-lysie jackwess-decker) kuu hajarayyadu, appudu athani kutumbam fraanslooni tuleku maarindi. thana chaduvunu konasaaginchadaaniki briv-laa-gaillarde rabbi rabbi david fuerwerker ataniki sahayam chesaadu. aaa samayamlo fraanslo ekkuva bhaagam naajeelachae aakraminchabadindi, mariyu mandelbroat eee kaalanni gurtuchesukuntaduh
1944loe, mandelbroat paarisku tirigi vacchi, leoneloni lysie du paarklo chaduvukunnadu, 1945 nundi 1947 varaku ekol polytechniclo chadivaadu, akkada athanu gaston julia mariyu paal levy aadhvaryamlo chaduvukunnadu. 1947 nundi 1949 varaku ayana california institute off technologylo chaduvukunnaru, akkada ayana aeronaticslo masters degreeni pondaaru. fraansku tirigi vacchina ayana 1952loe paris vishwavidhyaalayamlo ganita saastramlo peehechdi patta pondaaru.
parisoedhanaa vrutti.
1949 nundi 1958 varaku, mandelbroat center national dii laa research scientific loe sibbandi sabhyudiga unnaaru. eee samayamlo athanu newjerseelooni prinsetanloni institute pharr advanced studylo oka samvatsaram gadipadu, akkada athanu zaan vaan neuman chetha spaansar cheyabaddaadu. 1955loe athanu aliette kagannu vivaham chesukuni switzerlandloni geneevaaku (international center pharr genetic epistemologylo zeane piyajetto kalisi panicheyadaaniki), taruvaata lille nord dii france vishwavidhyaalayaaniki vellaadu. 1958loe eee janta united statesku vellaaru, akkada mandelbroat ibm thamus zhe vadda parisoedhanaa sibbandilo cheraaru. newyorkloni yarktown hightsloni watson parisoedhanaa kendram. athanu 35 samvatsaraalu ibmlo undi, ibm phelo ayyadu, taruvaata thoti emeritus ayyadu.
1951 nundi, mandelbroat samasyalapai panicheesaaru mariyu ganitamlo matrame kakunda samachara siddhaantam, aardhikasaastram mariyu drava gatisastram vanti anuvartita rangaalalo patraalanu prachurinchaaru.
aardhika marketlalo yaadruchchikata mariyu vichchinnaalu.
mandelbroat aardhika marketlanu ekagrata mariyu deerghakaalika aadharapadatam dwara vargeekarinchabadina "krooramaina yaadruchchikata" kii udaaharanagaa chusindi. aardhika hecchutaggulanu roopondinchadaaniki ayana aneka asalu vidhaanaalanu abhivruddhi chesaaru. thana prarambha rachanalo, aardhika marketlalo dharala maarpulu gassian pampineeni anusarinchaledani, conny anantamaina vyatyaasaanni kaligi unna sthiramaina pampineelanu anusarinchaayani ayana kanugonnaru. udaaharanaku, patthi dharalu gassian pampinheelo vale 2 kante 1.7 kii samaanamaina paramiti "α" thoo sthiramaina pampineeni anusarinchaayani ayana kanugonnaru. "sthiramaina" pampinheelu yaadruchchika chararashi yokka aneka sandarbhaala mottam oke pampineeni anusaristundi conny pedda sthaayi paraamititoe anae lakshanaanni kaligi untaayi. 60la prarambham nundi taruvaati pani 1900 nundi patthi dharala rojuvaaree detatho jarigindi, athanu 'frectal' anae padaanni pravesapettadaaniki chaalaa kaalam mundu. taruvaati samvatsaraallo, fractals anae bhavana paripakvam chendina taruvaata, financelo adhika frequency dayta labhyata tarvaata matrame fractals sandarbhamlo aardhika marketla adhyayanam saadhyamaindi. 1980la chivaralo, mandelbroat market microstructureku fractal siddhaantaanni vartimpajeyadaaniki jurich looni olsen & associates andinchina intra-dialy tick daetaanu upayoginchindi. eee sahakaram aardhika rangamlo scaling chattampai modati samagra patraala prachuranaku daariteestundi. eee chattam vividha samaya pramaanaalalo saaruupya lakshanaalanu chooputundi, idhi market suukshma nirmaanam yokka fractal swabhaavam gurinchi mandelbroat yokka antardrushtini dhruveekaristundi. eee praantamloo mandelbroat sonta parisoedhana athani "fractals und scaling inn finance" mariyu "dhi (miss) behaviour off markets" pustakaalalo pradarsinchabadindi.
fractal jyaamiti" mariyu mandelbroat samitini abhivruddhi cheyadam.
haarvard vishwavidhyaalayamlo visiting professorga, mandelbroat sanklishtamaina plain yokka konni parivartanallo asthiramgaa unna julia setlu anie piluvabade ganita vastuvulanu adhyayanam cheyadam praarambhinchaadu. gaston julia mariyu pierry phato munupati pani aadhaaramgaa, mandelbroat julia setla chitraalanu roopondinchadaaniki computernu upayoginchaaru. eee julia setla sthalaakrutini parisoedhistunnappudu, athanu 1979loe pravesapettina mandelbroat setnu adhyayanam chesaadu.
1975loe, mandelbroat eee nirmaanaalanu vivarinchadaaniki "fractal" anae padaanni roopondinchaaru mariyu modata thana aalochanalanu french pustakam "less objets fractals formay, hassered ett dimension" loe prachurinchaaru, taruvaata 1977loe "fractals roopam, avakaasam mariyu parimaanam" gaa anuvadinchaaru. computer shaastravetta mariyu bhouthika shaastravetta stephen wolfram prakaram, eee pustakam mandelbroatku oka "purogati", appati varaku saadhaaranamgaa "chaalaa suutigaa ganitaanni vartimpajesevaaru... intaku mundu teevramaina ganita shaastram yokka kaantini chuudani praantaalaku ". eee kotta parisoedhana phalitamgaa, athanu ikapai "tirugutunna shaastravetta" kaadani, taruvaata atanni "fractals yokka tandri" anie pilichaadani wolfram jodinchaadu
wolfram fraaktallanu jyaamiteeya punaraavrutam yokka oka roopamgaa kluptamgaa vivaristundi, dheenilo oka namuunaa yokka chinna mariyu chinna kaapeelu okadaanikokati varusakramgaa goodu kattutaayi, tadwara meeru mottamgaa entha joom chesina adhe klishtamaina akaaraalu kanipistaayi. fern aakulu mariyu roman brokali prakruti nundi rendu udaaharanalu."athanu oohinchani teermaanaanni etthi chuputadu
mandelbroat "fractal" anae padaanni upayoginchindi, endukante idhi virigina ledhaa mukkalu chesina gajuga nirvachinchabadina latin padam "fractus" nundi udbhavinchindi. thana vadda unna kottagaa abhivruddhi chesina ibm computerlanu upayoginchi, mandelbroat graphics computer kodnu upayoginchi fractal chitraalanu srushtinchagaligaadu, oka interviewer "prakruti mariyu maanava sariiraanni ventade roopaalatho 1960la manodharmi kala yokka ullaasabharitamaina utsaaham" laaga kanipinche chitraalanu varninchaadu. grahala kaksyalanu lekkinchi vivarinchina 17va sataabdapu shaastravetta johannes kepler taruvaata athanu tananu taanu "kepler" gaa kooda bhaavinchaadu.
ayithe, mandelbroat taanu kotta aalochananu kanipettaanani eppuduu bhaavinchaledu. ayana sains rachayita orther sii thoo oka documentarylo thana bhavalanu vivarinchaaru. clark
clark prakaram, "mandelbroat samiti nijamgaa ganita shaastram yokka mottam charitralo atyanta aascharyakaramaina aavishkaranalalo okati. intha nammasakyam kaani saralamaina sameekaranam aksharala "anantamaina" sanklishtata yokka chitraalanu srushtinchagaladani evaru kalalu kannaru?"clark oka" "vichitramaina yaadruchikam" "nuu kooda perkonnaduh
mandelbroat anae paeru, mariyu "mandala" anae padam-oka matha chihnamgaa-idhi oka swachchamaina yaadruchikam anie neenu khachitamgaa anukuntunnanu, conny vaastavaaniki mandelbroat samuuhamloo apaaramaina sankhyalo mandalaalu unnatlu anipistundi.
1982loe, mandelbroat thana aalochanalanu "prakruti yokka fractal jyaamiti" loe vistarinchi, naveekarinchaadu. eee prabhaavavantamaina rachana frectallanu vruttiparamaina mariyu prajaadarana pondina ganita shaastram yokka pradhana sravantiloki teesukuvacchindi, alaage frectallanu "programme kalakhandalu" gaa kottiparesina vimarsakulanu nissabdam chesindi.
35 samvatsaraala 12 rojula taruvaata, 1987loe mandelbroat ibmnu vidichipettadu, ibm thana vibhaagamlo swachchamaina parisoedhananu muginchaalani nirnayinchukunnappudu. athanu yaale vadda ganita vibhaagamlo cheraadu, 1999loe 75 samvatsaraala vayassulo thana modati padaveekaala padavini pondaadu. 2005loe padavee viramana samayamlo, athanu ganita saastraala sterling professorga panicheesaadu.
fractals mariyu "kathinatvam siddhaantam".
mandelbroat mottamodati "kathinatvam siddhaantaanni" srushtinchaadu, mariyu athanu parvataalu, teerapraantaalu mariyu nadhee pareevaahaka praantaala aakaralalo "kathinatvam" chushadu; mokkalu, rakta naalaalu mariyu oopiritittula nirmaanaalu; galaxyla samuuhaalu. prakrutilo atuvanti vastuvula mottam "kathinatvaanni" kolavadaniki konni ganita suutraalanu roopondinchadam athani vyaktigata anveshana. athanu prakrutiki sambandhinchina vividha rakaala prasnalanu tananu taanu adagadam dwara praarambhinchaaduh
thana patrikalo "britton teeram entha podavu untundi? 1967loe "sains" loe prachurinchabadina ganaanka sweeya-saaruupyata mariyu pakshika parimaanam, mandelbroat "fractals" kuu udaaharanalugaa unde hasdorf parimaanaanni kaligi unna sweeya-saaruupya vakrarekhalanu charchistundi, ayithe mandelbroat eee padaanni kaagitamlo upayoginchaledu, endukante athanu daanini 1975 varaku roopondinchaledu. eee kaagitam fractals anae amsampai mandelbroat yokka modati prachuranalalo okati.
mandelbroat vaastava prapanchamlo aneka "kathinamaina" drugvishayaalanu vivarinchadaaniki vaastavika mariyu upayogakaramaina namoonalugaa fraaktallanu upayoginchadaanni nokki chepparu. nijamaina kathinatvam tarachugaa fractal gaa untundi mariyu kolichenduku veelugaa untundi" anie ayana muginchaaru."mandelbroat" "fractal" "anae padaanni roopondinchinappatiki," "prakruti yokka fractal jyaamiti" "loe ayana samarpinchina konni ganita vastuvulanu gatamlo itara ganita saastravettalu vivarinchaaru". ayithe, mandelbroatku mundu, avi asahaja mariyu sahajamaina lakshanaalatoo kuudina vivikta utsukatalugaa pariganinchabaddaayi. mandelbroat eee vastuvulanu modatisaarigaa okachota cherchi, vaastava prapanchamlo sunnitamainavi kaani, "kathinamaina" vastuvulanu vivarinchadaaniki shaastram yokka paridhini vistarinchadaaniki deerghakaalamgaa nilichipoyina prayatnaaniki vaatini avasaramaina saadhanalugaa maarchindi. ayana parisoedhana paddhatulu paatavi mariyu kottavi
sangeetam, painting, vaastusilpam mariyu stock market dharalu vanti maanava karyakalapalalo kooda fractals kanipistaayi. saampradaaya euclidean jyaamiti yokka krutrimamgaa mruduvaina vastuvula kante fractals, asahajamainavi kakunda, aneka vidhaluga marinta sahajamainavi mariyu sahajamainavani mandelbroat viswasinchaaduh meghalu golaalu kaavu, parvataalu sankuvulu kaavu, teerapraantaalu vruttaalu kaavu, beradu mruduvainadi kaadu, ledhaa merupu sarala rekhalo prayaaninchadu.  - mandelbroat, "prakruti yokka fractal jyaamiti" kii thana parichayamlo"
mandelbroatnu kalakarudu, dooradrushtigalavadu, telivainavaadu anie pilustaaru. ayana anadhikaarika mariyu udvegabharitamaina rachana shaili mariyu drushya mariyu rekhaganita antar drushti (aneka drushtaamtaalanu cherchadam dwara maddatu) paie ayana icchina praadhaanyata "prakruti yokka fractal jyaamiti" nii nipunulu kaani vaariki andubaatulo unchindi. eee pustakam fractals patla vistrutamaina prajaadarana pondina aasaktini rekettinchindi mariyu gandaragolam siddhaantam mariyu sains mariyu ganitamlooni itara rangaalaku dohadapadindi.
mandelbroat thana aalochanalanu vishwodbhava saastramlo kooda upayoginchaadu. 1974loe ayana ollbers paradox ("cheekati raatri aakaasam" puzzle) gurinchi kotta vivarananu andinchaadu, idhi fractal siddhaantam yokka parinaamaalanu taginantagaa, conny avasaram laeni, paradox yokka parishkaramga pradarsinchindi. viswamlooni nakshatraalu paakshikamgaa pampinhee cheyabadithe (udaaharanaku, contar dummu laaga), vairudhyaanni vivarinchadaaniki bigg byaang siddhaantampai aadhaarapadavalasina avasaram ledani ayana pratipaadinchaaru. athani namuunaa pedda paeludunu thosipuchadu, conny pedda paeludu sambhavinchakapoyina cheekati aakaasaanni anumatistundi.
avaardulu mariyu gowravaalu.
mandelbroat puraskaralalo 1993loe bhouthika saastraaniki thodelu bahumati, 2000loe european geophysical sosaiteeki chendina levis fry richardson bahumati, 2003loe japan bahumati mariyu 2006loe american mathematical sosaiteeki chendina inestein lectureship unnaayi.
chinna grahasakalam 27500 mandelbroat kuu ayana gouravaartham paeru pettaru. 1990 navambarulo, athanu france yokka gourava sainyamlo chevaliyarga niyaminchabaddaadu. 2005 decemberulo, mandelbroat pasiphik vaayuvya jaateeya prayogasaalalo battelle phelo padaviki niyaminchabaddaadu. mandelbroat janavari 2006loe legian off hohner adhikariga padoonnati pondaadu. johns hopkins vishwavidyaalayam nundi gourava degreeni mae 2010 prarambha vyayamalalo mandelbroatku pradaanam chesaaru.
mandelbroat andukunna avaardula pakshika jabita
maranam mariyu vaarasatvam.
mandelbroat thana 85 samvatsaraala vayassulo pancreatic cancertho 14 october 2010naa masaachusetslooni cambridgeloni dharamsalalo maraninchaadu. athani marana vaartalapai spandistuu, ganita shaastravetta hange-oto peetjen ilaa annaru "[i] manam ganita shaastram lopala prabhavam mariyu vignaana saastraalalo anuvartanaala gurinchi matladithe, athanu gatha yaabhai samvatsaraalalo atyanta mukhyamaina vyaktulalo okadu."
ted conferences curator criss anderson mandelbroatunu "prapanchaanni manam chuse vidhananni marchina icon" gaa abhivarninchaaru. mandelbroat maraninchina samayamlo france adhyakshudu nicolus sarkozy matladutu, mandelbroat "saktivantamaina, asalu manassu kaligi unnadu, idhi mundastugaa oohinchina bhaavanalanu aavishkarinchadaaniki mariyu vichchinnam cheyadaaniki eppuduu venukaadaledu... hetch] anedi puurtigaa pradhana sravanti parisoedhana velupala abhivruddhi cheyabadina pani, idhi aadhunika samachara siddhaantaaniki daariteesindi."mandelbroat yokka" "dhi economist" "loe athani keertini" "akaadameeki minchina pramukhudu" "gaa etthi chooputundi mariyu" "fractal jyaamiti yokka pitamahudu" "gaa prasamsistumdi".
atyadhikamgaa ammudaina vyaasakarta-rachayita nassim nicolus tayleb, mandelbroat pustakam "dhi (miss) behaviour off markets" thana abhiprayam prakaram "ippativaraku prachurinchabadina atyanta lothaina mariyu atyanta vaastavika aardhika pustakam" anie vyakhyaaninchaaru.