6 research outputs found

    Asymptotics of twisted Alexander polynomials and hyperbolic volume

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    For a hyperbolic knot and a natural number n, we consider the Alexander polynomial twisted by the n-th symmetric power of a lift of the holonomy. We establish the asymptotic behavior of these twisted Alexander polynomials evaluated at unit complex numbers, yielding the volume of the knot exterior. More generally, we prove the asymptotic behavior for cusped hyperbolic manifolds of finite volume. The proof relies on results of Müller, and Menal-Ferrer and the last author. Using the uniformity of the convergence, we also deduce a similar asymptotic result for the Mahler measures of those polynomials

    STRUCTURE ET COMPOSITION FLORISTIQUES DE LA FORET DE SIDI R’GHIES (OUM EL BOUAGHI)

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    L’objectif général de cette étude est la gestion rationnelle des écosystèmes forestiers en vue d’une conservation durable de la biodiversité floristique. Deux types d’analyses sont réalisés : l’analyse structurale et l’analyse des principales essences. Au total, 3675 individus sont réparties dans 5 familles, départagées entre 7 espèces ont été recensés. Les espèces ligneuses dominantes sont Pinus halepensis et Juniperus. oxycedrus. Les Pinaceae et les Cupressaceae constituent les familles les plus représentées. Les valeurs moyennes de la richesse spécifique, de l’indice de diversité de Shannon sont de 3±1,2 et 0,71±0,30 espèces/parcelle respectivement. La densité moyenne des ligneux au niveau de la forêt de Sidi R’Ghies est de 735±368 pieds/ha avec une surface terrière moyenne de 23,01±5,04m²/ha. La structure des hauteurs montre que les arbres dans les classes de hauteur comprises entre 2 et 4m ont une densité très élevée, preuve d’une régénération naturelle. La structure totale indique que les arbres de petites dimensions sont plus abondants que ceux de grandes dimensions (17,5<d≤27,5cm). En effet, ce travail constitue une base de données pour la forêt mais il ne représente qu’une des facettes à prendre en considération en vue de la protéger et de la restaurer

    ASYMPTOTICS OF TWISTED ALEXANDER POLYNOMIALS AND HYPERBOLIC VOLUME

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    For a hyperbolic knot and a natural number n, we consider the Alexander polynomial twisted by the n-th symmetric power of a lift of the holonomy. We establish the asymptotic behavior of these twisted Alexander polynomials evaluated at unit complex numbers, yielding the volume of the knot exterior. More generally, we prove the asymptotic behavior for cusped hyperbolic manifolds of finite volume. The proof relies on results of Müller, and Menal-Ferrer and the last author. Using the uniformity of the convergence, we also deduce a similar asymptotic result for the Mahler measures of those polynomials

    On subgroups of GL2 over Banach algebras and von Neumann regular rings which are normalized by elementary matrices

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    AbstractLet A be an associative ring with 1 and let E2A be the group generated by all elementary 2 by 2 matrices over A. In this paper we describe all normal subgroups of E2A for all von Neumann regular rings A, as well as for a wide class of rings A containing all Banach algebras. For Banach algebras A, the answer involves “quasi-ideals” of A, which replace ideals of A in the similar results for GLnA, n ⩾ 3, obtained previously by the second author

    FP-INJECTIVE SEMIRINGS, SEMIGROUP RINGS AND LEAVITT PATH ALGEBRAS

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    In this paper we give characterisations of FP-injective semirings (previously termed “exact” semirings in work of the first author). We provide a basic connection between FP-injective semirings and P-injective semirings, and establish that FP-injectivity of semirings is a Morita invariant property. We show that the analogue of the Faith-Menal conjecture (relating FP-injectivity and self-injectivity for rings satisfying certain chain conditions) does not hold for semirings. We prove that the semigroup ring of a locally finite inverse monoid over an FP-injective ring is FP-injective and give a criterion for the Leavitt path algebra of a finite graph to be FP-injective

    0003

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    PAGE FOUR DAILY PALO ALTO TIMES, SATURDAY. JULY 6. 19» " Dail-- Palo Hlto Utmee a*r of Hamilton avenue snd turnout at reel. BBS TIMES PUBLISH INC COMPANY See Fairy Land From Phantom Ship on Grass Island at* stout** j- j J Tc* W«ek* t-M •aw Moot* .«3 law Week - .t* Addrea. all com nun tea (too* 10 THE DAILY flMES. P*k> Alto. C*L News iteaaa about Palo Aho or Sunfotd people anywhere, in Use wsvltl aulsciiod. IHE TIMES is not respoo- **!(■ for the opinions of correspondent*. At- ■tela* most be signed by the true nunc of Ibc -Titer, not for publkai.on. but ai • guarantee •i good iiitli. Koibing uf a scandalous or -Bxloua nature will be published- gatcrvd at the Pottoffice, *■*■***. as second-ctaaa matter Palo Alto, Call- EDITORS -W. H. KKLLY SATURDAY. JULY 6. 1812. MYSTIC GNOMES, OEN11 AND PIXIES TO BE ON HAND AT SANTA CRUZ. A fairy lake, viewed from the deck of a huge phantom ship, erected on a grass-grown Island In San Lorenzo river—this is to be tho scene of tbe great water pageant ond carnival at Santa Crus. starting Dried Fruit Market Is i Reported Inactive j EXCEPT Hill JOBBING DEMAND FOR PRUNES IIITI.E I'.I SI. NESS IS DOING. The movement In California dried fruits, as la usually the case at this time of tho year, Is slow and the situation presents nothing new In the way of Important transactions or price changes In either spot prune* or future goods, says the New York Journal of Commerce. Id California prune* on the spot there Is a on July 20lh and lasting an entire better demand than usual at this; week Hundreds of workmen, un- llme °' ,h,v F*-W. *hlch Is attributed di-r the direct personal management of Fr.-d Swan ton, ore gradually transforming the sandy fluts Just south of Hotel Casa del Itey Into a verltabl pled »'l to the foct that most of the larger Jobbing houses have run low on stocks and aro forced to fill In for tbe purpose of meeting the ordinary rerjuirenients of consumption fairyland, soon to bu peo-J for thlB time of tbe yeers As many strange and wonderfullof them have come Into the market If You Like Quaint Effects In furniture come and see what we have to show you. Just the chairs and tables you have been wanting to havo to serve your afternoon teas on. Our variety Is great and our prices moderate. Ours Is a reliable bouse catering to reliable people. Palo Alto Furniture Co. THK ALTKI'IUAN. gnome*, genii and pixies ond guard-! st the same time, and though their) ed by a fleet of mystic water croft, j individual requirements are not Im- , each vessel ot which will remind! por'am. the aggregate purchase*1 you of Shakespeare's "MldBummer: amount to o considerable quantity, night's Dream." I Holders nf spot stock, taking advon- Tbe Ides of Inn mug the Alrrurian " '" " hold Idea of Manager tage of tin- situation, are disposed to mag ail no has not been abandoned, Sw»nton and one thnt will not soon raise the prlcos. but the figures ns although it is temporarily suspend- ibe forgotten by those who are for-'given below irtfll represent the gen-' ed. The expense wa* s» niuchigreater'^""l'* enough to witness the fostl- eral market quotations. There than the Income thai funds ran out. ■, Tl1' '' contemplates the dommlng'were no fresh developments In hi- The editor win refund atT unearned ••' *°* 8an Lortraxo river. * stone's turc prune*. The high prices de- subscription:* to those who do not' throw from -where It Join* the monded by growers are preventing Prlce wish to await developments. ; mighty Pacific, in order to create a packers from offering futures at nil a j charming lake: the decoration ofjfreely, »t= thoy do not yet know the ! the* Douthern banks of that river un-; basis on which thoy can profitably SrJ^COnd Brill CaaiTiP to ■ll1 " K'iaI1 r(,8embt'' Arcady. the trade Some Tew packers are quot- •""-»-•«"'■-">, on an Island, of « huge' Ing 6Us to 90* on a A 1-2C f. o. b. the shape of a, Coastbulk hnsls for October ship- capable of stating' ments with varying 222 University Ave. Phone P. A. 12 PROFESSIONAL ATTORHEYS NORMAN L MALCOLM ATTORNEY AT LAW NOT A RY PtTBUO First National Bank building, Palo Alto. Offlos phoaa 41KKJ residence phone -UK. Dr. THOMAS F. HAMMOND IIENTIST Basra is Ip » U 11 a. as. m. Lctrard boll. aisx. CLASSIFIED CLASSIFIED Dr. Charles M. Decker Jr. SURGEON DENTIST 010 Waverley St., cor. Unlreraity At. Telephone Palo Alto 538X. VETERINARIANS. FOB 8ALK. W ANTED. Palo Alto Veterinary Hospital Dr. R. M. Olsson-Seffer For Sale—An auto-pleao, la flue1 Wanted—Apricot cutters. Ooodl condition, almost now; reasonable: campgrounds, pleasant surround-1 Thoroughly equipped to handle the 1th records Included. Party'lnlt»- wood and water free. Apply ■ smaller animals. Separate to make change Bo* L. Times office. James J. Dale, fruttdrler, Mountain an(j fUstemper wards. C T-tr i View. Phone Suburban lfX-1. B-7-lm» For onstructlon I'ulo AltO) --Eucalyptus wood (at[_ or stove lengths: Phone 10. 817 Alma Knot. Be Played Tomorrow' rph.''ho*1" ln J Spanish galleon. [ four thousand persons, and then MKRCI RY-HEBALP TEAM W|,M,y ^^ of rorRTOU WILL TRY TO TAKE SCALPS An opportunity to get ln business or in chunks Get your winter wood! yourself. We can offer a live wlde-j now. Address McOtauSln Mfg. Co.jswako y°™* raan » flt»e poslOon fori premiums on Suni,yvale, Cal. *-l-lm FAST OF LOCAL BOYS. outsldo work, wltb a going concern the larger alios according to the "__ Salary 176.00 month to Start. Ad- floats quantities of these to be Included In For Sale—Entire outfit of first-' TsnCf, „■■■■ be given as sblllty is and boats, ailed with singing and the order Oregon Italian prunes class household furniture, used one demonstrated An investment of dancing girls, robust steersmen and; on the spot are firm owing to the year Call 2 Salvatlerro, campus. 1,500 will be required. Secured, soldiers and happy children. Rome, prospect of a crop not much more 7-2-lw j For particulars address, with ref- than a third of normal. The East —— ——7^T*7^^ ^uitV*' erencos, ^ox: 22- Times.. Palo Alto. „.. , .. . . . , , ,. For Sale—Chiffonier. writing Side Jobbers who control cost of th» _ . _t ,_ ,., | spot supply are holding firmly the quoted prices and report an un- For Sale—Chiffonier. writing desk, sewing machine, woman'B bl-: 7-2-lw- Tomorro* nt the Woodland ball Jo It* days of splendor, never con- grounds the fa*t Mercury-Herald celved anything more entrancing, baseball team will Invade the local And then, to be sure, there will diamond with the avowed Intention >>e the hundred daylight diversions of taking the scalps of the local ball for the visitors—the yacht, motor usually good consuming demand for boys. That the local hoys have some-boat, shell, swimming and hydro- this time of the year. For Sate—Fine Astrakhan apples class was proven lost Sunday when plane races, tbe airships encircling At the opening prices on new crop ;„r jelly. 1 cent per lb. 1126 Chan- they were defeoted b> tbe Moose the lofty blue, the botblng. fishing.' California pears, which are about Tojsdnaj lane. Pbone 180. 7-3-1* -toam of San Jose by the score of "dancing, riding and skylarking on for standard. Sc for choice. 8c for -. -— j ■ -—-— to 1 It was the first game the the mile-long board walk. More extra choice and 10 l-2c for fancy *"°r S*'p or Bent—The Mrs. Flint boys had played together. i than fifty great white birds, belong-1 for shipment f. o. b. coast, there, mansion, Inquire within; also Menal- The grounds are In good coudl- Ing to the CorlnthlanB nnd other seems to be little demand. yachtsmen, will be ln the harbor: There Is little Intorest shown here,on0 eleven-room house In ™A™-j Hamilton avenue an equal number of motor boots,.",a In offering* of apricots or peaches pair of Uncle Sam's cruiser* and.either for spot or forward shipments y0f ^tHo Single buggy. Also Following will be the lineup of two of bis submsiines. on even and prices are normal. laying Leghorn and Rhode Island the two teams: I dosen of the world** fsmouB swim-, . Red hens. 656 Channlng. 7-5-lw- Palo Alto—Csllahan. catcher.! mors, under the direction of Sidney i , ___ Bishop . pitcher. Maiheson. first; Corill. and to crown 1L all thou- Vv^GfiklV Rest DflV I .-flW FOB "Lewis, second. Hooligan, third; Mc-Jaaod* of dollars* worth or fireworks! rv* i Lachlan. shortstop. Youot. right;! which will Illuminate the nky at the j {q 3e DlSCUfS€u Miller, center. Whllllng. left. ! close of each evening's entertain-! San Jose- Rudolph. pitcher: I moot. Cgeuse. catcher. Shepherd, first; | In the preparation of his program Dr. E. C. Zickendrath GRADUATE \ in EKINABIAN (California Slat* License.) Dentistry, Surgery, Medicine. Phone MS. Office 428 Hamilton A vs. -sguAB* Los Altos rig con Lofts Finest squabs for table delivered at your door. Prices on application. Ring Palo Atto H47—ring t. Regular delivery on Wednesdays Wanted- -Young girl to assist i housework, regular employment If mutually satisfactory: or girl or wo- n,.r. Ior gaaaral bon«worr. Ior ""' Sat"*""- Ord.r. of ball IM month or more. Phone 390Y. Cor. Bryont and Coleridge. S. Palo Alto.) S-2S»-6l | tion ond ore only a few steps from the end of th*.- University-avenue car line. , Wanted — Washing and ironing by to cottage, good chicken ranofa «*K wJ|, (ake homo or gQ qM .jo 7-1-1* - Wanted—By single ladyr two or three unfurnished housekeeping rooms. Address Box 2. Times office 7-Mw more ol any time. Orders must be in before .";::. tbe day before delivery. L. T. LENOX Wanted—Boys bring all your old For Rent—Neat, cloan modern 3- bicycle* and parts to us and we will room furnished flat, tie: bath, gas.; P»T you cash for them. C. R. Ba- ielectrlclty, phone. 918 Ramooa.eoni. i3S High street. Phone 318X. ! CALIFORNIA IS ONLY STATE INjfltreeY Phone 378T. 7-8-tf 7-6-lw UPHOLSTERING AND RM'AlBIflT'B Awnings. Window Bhades, Brass Rods, Etc Agency for Ban Josri Bug Works. A. -WT MILLS BIO university Ave. Lenoon. second. Machado. third: T.! Manager Swauton has been aided I^amar. shortstop. Sullivan. Gaines, msterlally by Commodore Conney Maugin. fielders 'of the Corinthian and cx-Commc- The game will be called promptly dor.* Hogg, each of whom has taken al 1:30 o clock and ihe admission a keen Interest In the carnival The obargc will be S6 cent* A A i railroad company Is offering oxcei>- yuinn. umpire Ufonally low fares for the week, and • .the hotels and cottage cities of San Professor Rratider Mntlhxws at o la cruz have pledged th<-m*elves lo Uterary dlnuer lu New York said of make no advance over their regu- * certain "beat seller : '"The gram-. Is* rati** Altogether "water week" mar Is rather off It* author lies »' Santa Crui should be the biggest open to the rObnke meted out to a thine ever attempted on the Pacific Philadelphia author in the lost ren- roost ond Manager Rwanton 1* to be tury This author had been slashed i«nr:rnritlated upon evolving such a UNION THAT HAS NOT THE HUMANE MEASURES- For Rent—Armor j Hall; rent reduced. Available for meetings. shows, dances. Apply F. J- Drlseoll. *««<■ 303 University svenue. l-2I-tf C. R. BASOM BICYCLES, SEWING MACHINE*. VACUUM CLEANERS Sold, Repaired, Rented. ' Vacuum Cleaner* for rent, SI a das-, parll, <»n.l.hwa bungalow Ior long ; 43g ^ SUTrt J£ lAshaTA I-..,.,.,. Dfeln , ' . .-. t J 9V ^^* ***.*" Wanted -Three four For Rent—Two housekeeping Frederick Morgan at tbe union roomB with sleeping porch; aU con- ntences; 111. H36 Florence st. 6-1 -tf In a review and he wrote to the reviewer and challenged him to * duel But the critic wrote back: '1 j hare read your letter. It Is as! wretched sb your book. You have called me out Very welt. I choose grammar You are a dead man ' ■pllOTlods entertainment "Bryan Smiled." Well he might. Th*-re i* no parallel or precedent political history for his performance la the nations! Democratic convention one man ever tossed his enemies, and his friends, about and tumbled them over as Bryan did In ; this convention. Predatory wealth and the near uraod topsy- hoso wagon, bids to be received up! lurry by tho adroit William Jen- to July IsL Dings.—Santa Cms Surf. Why Should California Have a Weekly Kestday LowT" is the topic of ihe sermon to be delivered by I Rev ■ services at the Congr.-grit tonal | Church tomorrow evening Initiative petitions are now clr- . culatlng In the state to secure the Rooms furnished Tor nousekeep 31.600 signature* necessary to place ing: rates reasonable. thf question on the ballot this foil Polo Alto should do her part, l-o- bor unions aro Btrongly advocating it. It Is not "blue law** legislation The proposed law will not compel the observance of any apeclal day Phone Palo Alto 343X 7-6-2t Wanted. situation n housek'-eplt brae, Cal *> middle-aged companion and Mrs. Leonard. lady, light Mill- ton, 454 Hamilton ave Pbone 48SK 6-10-lm For Rent—Furnished houses. against conscientious or religious scruples, and recognises the neces- r0-t Bryant street. For Rent—Cor. Addison and Fulton. 8-room cottage, bath, laundry. MOSQUITOES Son Mateo— Though ih«r failure ot" the levee on the Howard marshes we are again affiB -led. and large sums -pent lor protection have been spent in vain If this Levee had been kept up as' 6-26-2w» promised „■- would have Im.l little — trouble. At fhb time a move should j be made to sec that this work m or-1 DRUGLESS HEALER tresis alt disease* without drutjs or surgery. Consultation free. Lady ln attendance. Phono 430K. PROF. J. THORNLEY, S. T. University Hotel, Palo Alto, Cad. Palmistry MRS. VAN BAKER Best Psychic Reader, 817 Kipling. off Homer avenue. Phono 497L. llty of some Industries continuing, chicken yard, garden. Hillsborough ha* called for bids to furnish an auto chemical fire engine. Orovlllo is advertising for a mo-' tor-driven combination chemical and j friends wore allko seven days in the week. But It will j to private and public schools, provide thot In such industries every including water. Key at 733 Add!' laborer shall have one day off dur- son or at owner's. 628 Cowper sL Petaluma has advertised for a Convenient ran«'C(' (or "O that *** shall not have j triple combination auto fire pump. g25! a repetition of the trouble next year The city did its share and should »r< that the property owners do not agair hose wagon and chomlcal outfit, 100 horsepower. S-27-tf FABER TRACT 800 We bare the selling agency for the Paber Tract acres, known for years as tin- Clarke Ranch. This property adjoin* the Ravenswood Addition to Palo Alto and lies within two block* of tbe car line. It is subdivided Into fire and ten acre tracts, and is the highest class acreage close to Palo Alto that ha* ever been upon the niarkei. It Is rich, level land, especially adapted to alfalfa or vegetable*. Electric power for pumping. We will sell yon fire or ten acre* and build to suit on a ' small payment down, tbe balance In easy terms. For fall particulars call on Marshall Black Investment Comp. tony 257 UniversityAvenuc, Palo Alto, Cal. ' ing the week. California is the only atate In tho, Union that has n rcstday law. Sampel Gompers says. "In my j0dg-< in.'tit. it is not only lust and bomane.| but esseotlal to tbo progress of our, poppl.'. the perpetuation ot the race. por p.ent—Close In on Waverley the liberty of our country, the n-.n- .,--t.^t. nicely furnished sunny front terlal. moral ond Intellectual ad' vancement of all thot one day ol rest In seven should be the unlvor fall down on theirs. For Rent—Furnished flats of Fowler has ordered the cotistrue- threo rooms. |14 per mo„ or bIx tion of more cement sidewalks. weeks 120; white enamel kitchens. J ^ | Apply 311 Alma street. T-l-Jw t Lindsay citizens, ln mass meeting assembled, advocated a $2,000,000 I bond Ibssuc for Tulare county for I good roads. sal rule. Seven-day workers are positively poor workers." Tbo California Federation of Labor In convention at San Jose In 1908 unanimously adopted this resolution: "That we favor * six-day week, as well as an eight-hour day for labor. Tbat we request the next California legislature to enact an effective statute tbat will provide a weekly restday for every laborer, not as a privilege but as a natural right." room with berth; front entrance; good location for professional or business man. * Inquire Times office. l-l-lm» MISCELLANEOUS. PALO ALTO VACUUM CARPET CLEANING CO. Carpet laying and remodeling. S. C. Gibson, res. 1*37 Lytton ave. Phone 430Y. U-Sltr LOST. Ixiat—Ladles' gold chain bracelet Waverley street on Thursday i vin-i;..' inii a* « natural i ■]■:■"■ _ _ _. . _ _-. ,„ n,. - . " , , .. , , ... evening. Reward for return to 363 As tho time for the closing of the , - _ ,. . - , ~r . ,. Me v lie avenue. 7-G-3t petitions has been extended to tbe 16th of July, petitions will be on hand to sign at the union services. and win be circulated during the week. One petition with some fifty names wss sent in. but Palo Alto should not be content with such a ] meager showing. eoooeeet Santa Barbara is buying a lot of pipe for its municipal water system. San Bernardino Is threatened with the recall of one of Its councilman ; ; because he did not vote right on fixing gas rates. t FOR HALE OLD BUILDINGS ON THE SEALE RANCH Also second-hand buggies, surreys, harness. Apply to ALFRED SHALE Nevada Building. I»hooe S1SX Do you Like Good Coffee? OF COURSE YOU DO. DO YOU GET IT? Not always, unless job bay oar Aroca Blend—a combination of old ooflee of delirious flavor, not rank. EARLE & CO. Masonic Temple Building Phones 837 and 838
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