7 results
The mapping class group action on
$\mathsf{SU}(3)$-character varieties
- Part of
- WILLIAM M. GOLDMAN, SEAN LAWTON, EUGENE Z. XIA
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- Journal:
- Ergodic Theory and Dynamical Systems / Volume 41 / Issue 8 / August 2021
- Published online by Cambridge University Press:
- 15 June 2020, pp. 2382-2396
- Print publication:
- August 2021
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Let
$\unicode[STIX]{x1D6F4}$ be a compact orientable surface of genus
$g=1$ with
$n=1$ boundary component. The mapping class group
$\unicode[STIX]{x1D6E4}$ of
$\unicode[STIX]{x1D6F4}$ acts on the
$\mathsf{SU}(3)$-character variety of
$\unicode[STIX]{x1D6F4}$. We show that the action is ergodic with respect to the natural symplectic measure on the character variety.
Contributors
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- By Mitchell Aboulafia, Frederick Adams, Marilyn McCord Adams, Robert M. Adams, Laird Addis, James W. Allard, David Allison, William P. Alston, Karl Ameriks, C. Anthony Anderson, David Leech Anderson, Lanier Anderson, Roger Ariew, David Armstrong, Denis G. Arnold, E. J. Ashworth, Margaret Atherton, Robin Attfield, Bruce Aune, Edward Wilson Averill, Jody Azzouni, Kent Bach, Andrew Bailey, Lynne Rudder Baker, Thomas R. Baldwin, Jon Barwise, George Bealer, William Bechtel, Lawrence C. Becker, Mark A. Bedau, Ernst Behler, José A. Benardete, Ermanno Bencivenga, Jan Berg, Michael Bergmann, Robert L. Bernasconi, Sven Bernecker, Bernard Berofsky, Rod Bertolet, Charles J. Beyer, Christian Beyer, Joseph Bien, Joseph Bien, Peg Birmingham, Ivan Boh, James Bohman, Daniel Bonevac, Laurence BonJour, William J. Bouwsma, Raymond D. Bradley, Myles Brand, Richard B. Brandt, Michael E. Bratman, Stephen E. Braude, Daniel Breazeale, Angela Breitenbach, Jason Bridges, David O. Brink, Gordon G. Brittan, Justin Broackes, Dan W. Brock, Aaron Bronfman, Jeffrey E. Brower, Bartosz Brozek, Anthony Brueckner, Jeffrey Bub, Lara Buchak, Otavio Bueno, Ann E. Bumpus, Robert W. Burch, John Burgess, Arthur W. Burks, Panayot Butchvarov, Robert E. Butts, Marina Bykova, Patrick Byrne, David Carr, Noël Carroll, Edward S. Casey, Victor Caston, Victor Caston, Albert Casullo, Robert L. Causey, Alan K. L. Chan, Ruth Chang, Deen K. Chatterjee, Andrew Chignell, Roderick M. Chisholm, Kelly J. Clark, E. J. Coffman, Robin Collins, Brian P. Copenhaver, John Corcoran, John Cottingham, Roger Crisp, Frederick J. Crosson, Antonio S. Cua, Phillip D. Cummins, Martin Curd, Adam Cureton, Andrew Cutrofello, Stephen Darwall, Paul Sheldon Davies, Wayne A. Davis, Timothy Joseph Day, Claudio de Almeida, Mario De Caro, Mario De Caro, John Deigh, C. F. Delaney, Daniel C. Dennett, Michael R. DePaul, Michael Detlefsen, Daniel Trent Devereux, Philip E. Devine, John M. Dillon, Martin C. Dillon, Robert DiSalle, Mary Domski, Alan Donagan, Paul Draper, Fred Dretske, Mircea Dumitru, Wilhelm Dupré, Gerald Dworkin, John Earman, Ellery Eells, Catherine Z. Elgin, Berent Enç, Ronald P. Endicott, Edward Erwin, John Etchemendy, C. Stephen Evans, Susan L. Feagin, Solomon Feferman, Richard Feldman, Arthur Fine, Maurice A. Finocchiaro, William FitzPatrick, Richard E. Flathman, Gvozden Flego, Richard Foley, Graeme Forbes, Rainer Forst, Malcolm R. Forster, Daniel Fouke, Patrick Francken, Samuel Freeman, Elizabeth Fricker, Miranda Fricker, Michael Friedman, Michael Fuerstein, Richard A. Fumerton, Alan Gabbey, Pieranna Garavaso, Daniel Garber, Jorge L. A. Garcia, Robert K. Garcia, Don Garrett, Philip Gasper, Gerald Gaus, Berys Gaut, Bernard Gert, Roger F. Gibson, Cody Gilmore, Carl Ginet, Alan H. Goldman, Alvin I. Goldman, Alfonso Gömez-Lobo, Lenn E. Goodman, Robert M. Gordon, Stefan Gosepath, Jorge J. E. Gracia, Daniel W. Graham, George A. Graham, Peter J. Graham, Richard E. 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Hull, Patricia Huntington, Thomas Hurka, Paul Hurley, Rosalind Hursthouse, Guillermo Hurtado, Ronald E. Hustwit, Sarah Hutton, Jonathan Jenkins Ichikawa, Harry A. Ide, David Ingram, Philip J. Ivanhoe, Alfred L. Ivry, Frank Jackson, Dale Jacquette, Joseph Jedwab, Richard Jeffrey, David Alan Johnson, Edward Johnson, Mark D. Jordan, Richard Joyce, Hwa Yol Jung, Robert Hillary Kane, Tomis Kapitan, Jacquelyn Ann K. Kegley, James A. Keller, Ralph Kennedy, Sergei Khoruzhii, Jaegwon Kim, Yersu Kim, Nathan L. King, Patricia Kitcher, Peter D. Klein, E. D. Klemke, Virginia Klenk, George L. Kline, Christian Klotz, Simo Knuuttila, Joseph J. Kockelmans, Konstantin Kolenda, Sebastian Tomasz Kołodziejczyk, Isaac Kramnick, Richard Kraut, Fred Kroon, Manfred Kuehn, Steven T. Kuhn, Henry E. Kyburg, John Lachs, Jennifer Lackey, Stephen E. Lahey, Andrea Lavazza, Thomas H. Leahey, Joo Heung Lee, Keith Lehrer, Dorothy Leland, Noah M. 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Sherburne, Christopher Shields, Roger A. Shiner, Sydney Shoemaker, Robert K. Shope, Kwong-loi Shun, Wilfried Sieg, A. John Simmons, Robert L. Simon, Marcus G. Singer, Georgette Sinkler, Walter Sinnott-Armstrong, Matti T. Sintonen, Lawrence Sklar, Brian Skyrms, Robert C. Sleigh, Michael Anthony Slote, Hans Sluga, Barry Smith, Michael Smith, Robin Smith, Robert Sokolowski, Robert C. Solomon, Marta Soniewicka, Philip Soper, Ernest Sosa, Nicholas Southwood, Paul Vincent Spade, T. L. S. Sprigge, Eric O. Springsted, George J. Stack, Rebecca Stangl, Jason Stanley, Florian Steinberger, Sören Stenlund, Christopher Stephens, James P. Sterba, Josef Stern, Matthias Steup, M. A. Stewart, Leopold Stubenberg, Edith Dudley Sulla, Frederick Suppe, Jere Paul Surber, David George Sussman, Sigrún Svavarsdóttir, Zeno G. Swijtink, Richard Swinburne, Charles C. Taliaferro, Robert B. Talisse, John Tasioulas, Paul Teller, Larry S. Temkin, Mark Textor, H. S. Thayer, Peter Thielke, Alan Thomas, Amie L. Thomasson, Katherine Thomson-Jones, Joshua C. Thurow, Vzalerie Tiberius, Terrence N. Tice, Paul Tidman, Mark C. Timmons, William Tolhurst, James E. Tomberlin, Rosemarie Tong, Lawrence Torcello, Kelly Trogdon, J. D. Trout, Robert E. Tully, Raimo Tuomela, John Turri, Martin M. Tweedale, Thomas Uebel, Jennifer Uleman, James Van Cleve, Harry van der Linden, Peter van Inwagen, Bryan W. Van Norden, René van Woudenberg, Donald Phillip Verene, Samantha Vice, Thomas Vinci, Donald Wayne Viney, Barbara Von Eckardt, Peter B. M. Vranas, Steven J. Wagner, William J. Wainwright, Paul E. Walker, Robert E. Wall, Craig Walton, Douglas Walton, Eric Watkins, Richard A. Watson, Michael V. Wedin, Rudolph H. Weingartner, Paul Weirich, Paul J. Weithman, Carl Wellman, Howard Wettstein, Samuel C. Wheeler, Stephen A. White, Jennifer Whiting, Edward R. Wierenga, Michael Williams, Fred Wilson, W. Kent Wilson, Kenneth P. Winkler, John F. Wippel, Jan Woleński, Allan B. Wolter, Nicholas P. Wolterstorff, Rega Wood, W. Jay Wood, Paul Woodruff, Alison Wylie, Gideon Yaffe, Takashi Yagisawa, Yutaka Yamamoto, Keith E. Yandell, Xiaomei Yang, Dean Zimmerman, Günter Zoller, Catherine Zuckert, Michael Zuckert, Jack A. Zupko (J.A.Z.)
- Edited by Robert Audi, University of Notre Dame, Indiana
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- The Cambridge Dictionary of Philosophy
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- 05 August 2015
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- 27 April 2015, pp ix-xxx
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Contributors
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- By Dor Abrahamson, Jerry Andriessen, Roger Azevedo, Michael Baker, Ryan Baker, Sasha Barab, Carl Bereiter, Susan Bridges, Mario Carretero, Carol K. K. Chan, Clark A. Chinn, Paul Cobb, Allan Collins, Kevin Crowley, Elizabeth A. Davis, Chris Dede, Sharon J. Derry, Andrea A. diSessa, Michael Eisenberg, Yrjö Engeström, Noel Enyedy, Barry J. Fishman, Ricki Goldman, James G. Greeno, Erica Rosenfeld Halverson, Cindy E. Hmelo-Silver, Michael J. Jacobson, Sanna Järvelä, Yasmin B. Kafai, Yael Kali, Manu Kapur, Paul A. Kirschner, Karen Knutson, Timothy Koschmann, Joseph S. Krajcik, Carol D. Lee, Peter Lee, Robb Lindgren, Jingyan Lu, Richard E. Mayer, Naomi Miyake, Na’ilah Suad Nasir, Mitchell J. Nathan, Narcis Pares, Roy Pea, James W. Pellegrino, William R. Penuel, Palmyre Pierroux, Brian J. Reiser, K. Ann Renninger, Ann S. Rosebery, R. Keith Sawyer, Marlene Scardamalia, Anna Sfard, Mike Sharples, Kimberly M. Sheridan, Bruce L. Sherin, Namsoo Shin, George Siemens, Peter Smagorinsky, Nancy Butler Songer, James P. Spillane, Kurt Squire, Gerry Stahl, Constance Steinkuehler, Reed Stevens, Daniel Suthers, Iris Tabak, Beth Warren, Uri Wilensky, Philip H. Winne, Carmen Zahn
- Edited by R. Keith Sawyer, University of North Carolina, Chapel Hill
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- The Cambridge Handbook of the Learning Sciences
- Published online:
- 05 November 2014
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- 17 November 2014, pp xv-xviii
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Geodesics in Margulis spacetimes
- WILLIAM M. GOLDMAN, FRANÇOIS LABOURIE
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- Journal:
- Ergodic Theory and Dynamical Systems / Volume 32 / Issue 2 / April 2012
- Published online by Cambridge University Press:
- 08 November 2011, pp. 643-651
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- April 2012
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Let M3 be a Margulis spacetime whose associated complete hyperbolic surface Σ2 has a compact convex core. Generalizing the correspondence between closed geodesics on M3 and closed geodesics on Σ2, we establish an orbit equivalence between recurrent spacelike geodesics on M3 and recurrent geodesics on Σ2. In contrast, no timelike geodesic recurs in either forward or backward time.
High Frequency of Multidrug-Resistant Gram-Negative Rods in 2 Neonatal Intensive Care Units in the Philippines
- Jennifer M. Litzow, Christopher J. Gill, Jose B. V. Mantaring, Matthew P. Fox, William B. MacLeod, Myrna Mendoza, Sookee Mendoza, Rebecca Scobie, Charles W. Huskins, Donald A. Goldman, David H. Hamer
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- Journal:
- Infection Control & Hospital Epidemiology / Volume 30 / Issue 6 / June 2009
- Published online by Cambridge University Press:
- 02 January 2015, pp. 543-549
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- June 2009
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Background.
Although hospital-acquired infections appear to be a growing threat to the survival of newborns in the developing world, the epidemiology of this problem remains poorly characterized.
Methods.During a 10-month period, we conducted prospective longitudinal surveillance for colonization and bloodstream infection caused by gram-negative rods among all infants hospitalized in the 2 largest neonatal intensive care units in Manila, the Philippines. We determined antibiotic susceptibilities and calculated adjusted odds ratios for risk factors for bacteremia by means of multivariate logistic regression.
Results.Of 1,831 neonates enrolled during a 10-month period, 1,017 (55.5%) became newly colonized and 358 (19.6%) became bacteremic with a drug-resistant gram-negative rod, most commonly Klebsiella species, Enterobacter species, Acinetobacter species, and Pseudomonas aeruginosa. Of the invasive isolates, 20% were resistant to imipenem, 41% to trimethoprim-sulfamethoxazole, 52% to amikacin, 63% to ampicillin-sulbactam, 67% to ceftazidime, and 80% to tobramycin. The factors significantly associated with an increased risk of bacteremia were mechanical ventilation and prematurity. Additionally, colonization with a drug-resistant gram-negative rod was an independent risk factor for bacteremia (odds ratio, 1.4 [95% confidence interval, 1.0-1.9]).
Conclusions.Colonization with a drug-resistant gram-negative rod was an independent risk factor for sepsis. If our data are typical, the unusually high intensity of colonization pressure and disease caused by multidrug-resistant gram-negative rods at these 2 neonatal intensive care units indicates an emerging healthcare crisis in the developing world. Improved infection control methods are therefore critically needed in developing countries.
Recurrent Geodesics in Flat Lorentz 3-Manifolds
- Virginie Charette, William M. Goldman, Catherine A. Jones
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- Canadian Mathematical Bulletin / Volume 47 / Issue 3 / 01 September 2004
- Published online by Cambridge University Press:
- 20 November 2018, pp. 332-342
- Print publication:
- 01 September 2004
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Let
$M$ be a complete flat Lorentz 3-manifold
$M$ with purely hyperbolic holonomy
$\Gamma $. Recurrent geodesic rays are completely classified when
$\Gamma $ is cyclic. This implies that for any pair of periodic geodesics
${{\gamma }_{1}}$,
${{\gamma }_{2}}$, a unique geodesic forward spirals towards
${{\gamma }_{1}}$ and backward spirals towards
${{\gamma }_{2}}$.
High Temperature X-Ray Diffraction in Transmission Under Controlled Environment
- L. Margulies, M. J. Kramer, J. J. Williams, E. M. Deters, R. W. McCallum, D. R. Haeffner, J. C. Lang, S. Kycia, A. I. Goldman
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- Journal:
- MRS Online Proceedings Library Archive / Volume 524 / 1998
- Published online by Cambridge University Press:
- 10 February 2011, 139
- Print publication:
- 1998
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A compact tube furnace has been developed for high temperature X-ray diffraction studies using high energy synchrotron radiation. The furnace design has a low absorption path in transmission yet allows for a high degree of control of the sample atmosphere and a minimal temperature gradient across the sample. The design allows for a maximum temperature of 1500°C with a variety of atmospheres including inert, reducing, and oxidizing. Preliminary results obtained at the SRI-CAT I-ID undulator line (60keV) at the APS facility and the A2 24 pole wiggler line (45keV) at CHESS on the Ti5Si3Z5 (Z = C, N, O) system will be presented to demonstrate the feasibility of this approach.
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