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1. Inside story

Author

Ingram, Tracey and Christie, Alexander

Published
2019

2. Speeding up Langevin Dynamics by Mixing

Author

Christie, Alexander, Feng, Yuanyuan, Iyer, Gautam, and Novikov, Alexei

Subjects
Mathematics - Probability, Mathematics - Analysis of PDEs
Abstract

We study an overdamped Langevin equation on the $d$-dimensional torus with stationary distribution proportional to~$p = e^{-U / \kappa}$. When~$U$ has multiple wells the mixing time of the associated process is exponentially large (of size~$e^{O(1/\kappa)}$). We add a drift to the Langevin dynamics (without changing the stationary distribution) and obtain quantitative estimates on the mixing time. We show that an exponentially mixing drift can be rescaled to make the mixing time of the Langevin system arbitrarily small. For numerical purposes, it is useful to keep the size of the imposed drift small, and we show that the smallest allowable rescaling ensures that the mixing time is $O( d/\kappa^2)$, which is an order of magnitude smaller than~$e^{O(1/\kappa)}$. We provide one construction of an exponentially mixing drift, although with rate constants whose~$\kappa$-dependence is unknown.Heuristics (from discrete time) suggest that $\kappa$-dependence of the mixing rate is such that the imposed drift is of size~$O(d / \kappa^3)$. The large amplitude of the imposed drift increases the numerical complexity, and thus we expect this method will be most useful in the initial phase of Monte Carlo methods to rapidly explore the state space.

Published
2023

4. Lack of regional pathways impact on surgical delay: Analysis of the Orthopaedic Trauma Hospital Outcomes–Patient Operative Delays (ORTHOPOD) study

Author

Stevenson, Iain, Yoong, Andrel, Rankin, Iain, Dixon, James, Lim, Jun Wei, Sattar, Mariam, McDonald, Stephen, Scott, Sharon, Davies, Helen, Jones, Louise, Nolan, Michelle, McGinty, Rebecca, Stevenson, Helene, Bowe, David, Sim, Francis, Vun, James, Strain, Ritchie, Giannoudis, Vasileios, Talbot, Christopher, Gunn, Christopher, Le, Ha Phuong Do, Bradley, Matthew, Lloyd, William, Hanratty, Brian, Lim, Yizhe, Brookes-Fazakerley, Steven, Varasteh, Amir, Francis, Jonathan, Choudhry, Nameer, Malik, Sheraz, Vats, Amit, Evans, Ashish, Garner, Madeleine, King, Stratton, Zbaeda, Mohamed, Diamond, Owen, Baker, Gavin, Napier, Richard, Guy, Stephen, McCauley, Gordon, King, Samuel, Edwards, Gray, Lin, Benjamin, Davoudi, Kaveh, Haines, Samuel, Raghuvanshi, Manav, Buddhdev, Pranai, Karam, Edward, Nimmyel, Enoch, Ekanem, George, Lateef, Razaq, Jayadeep, JS, Crowther, Ian, Mazur, Karolina, Hafiz, Nauman, Khan, Umair, Chettiar, Krissen, Ibrahim, Amr, Gopal, Prasanth, Tse, Shannon, Lakshmipathy, Raj, Towse, Claudia, Al-Musawi, Hashim, Walmsley, Matthew, Aspinall, Will, Metcalfe, James, Moosa, Aliabbas, Crome, George, Abdelmonem, Mohamed, Lakpriya, Sathya, Hawkins, Amanda, Waugh, Dominic, Kennedy, Matthew, Elsagheir, Mohamed, Kieffer, Will, Oyekan, Adekinte, Collis, Justin, Raad, Marjan, Raut, Pramin, Baker, Markus, Gorvett, Alexander, Gleeson, Hannah, Fahmy, John, Walters, Sam, Tinning, Craig, Chaturvedi, Abhishek, Russell, Heather, Alsawada, Osama, Sinnerton, Robert, Crane, Evan, Warwick, Catherine, Dimascio, Lucia, Ha, Taegyeong Tina, King, Thomas, Engelke, Daniel, Chan, Matthew, Gopireddy, Rajesh, Deo, Sunny, Vasarhelyi, Ferenc, Jhaj, Jasmeet, Dogramatzis, Kostas, McCartney, Sarah, Ardolino, Toni, Fraig, Hossam, Hiller-Smith, Ryan, Haughton, Benjamin, Greenwood, Heather, Stephenson, Nicola, Chong, Yuki, Sleat, Graham, Saedi, Farid, Gouda, Joe, Ravi, Sanjeev Musuvathy, Henari, Shwan, Imam, Sam, Howell, Charles, Theobald, Emma, Wright, Jan, Cormack, Jonathan, Borja, Karlou, Wood, Sandy, Khatri, Amulya, Bretherton, Chris, Tunstall, Charlotte, Lowery, Kathryn, Holmes, Benjamin, Nichols, Jennifer, Bashabayev, Beibit, Wildin, Clare, Sofat, Rajesh, Thiagarajan, Aarthi, Abdelghafour, Karim, Nicholl, James, Abdulhameed, Ahmed, Duke, Kathryn, Maling, Lucy, McCann, Matthew, Masud, Saqib, Marshman, James, Moreau, Joshua, Cheema, Kanwalnaini, Rageeb, Peter Morad, Mirza, Yusuf, Kelly, Andrew, Hassan, Abdul, Christie, Alexander, Davies, Angharad, Tang, Cary, Frostick, Rhiannon, Pemmaraju, Gopalakrishna, Handford, Charles, Chauhan, Govind, Dong, Huan, Choudri, Mohammed Junaid, Loveday, David, Bawa, Akshdeep, Baldwick, Cheryl, Roberton, Andrew, Burden, Eleanor, Nagi, Sameer, Johnson-Lynn, Sarah, Guiot, Luke, Kostusiak, Milosz, Appleyard, Thomas, Mundy, Gary, Basha, Amr, Abdeen, Bashar, Robertson-Smith, Bill, Hussainy, Haydar Al, Reed, Mike, Jamalfar, Aral, Flintoft, Emily, McGovern, Julia, Alcock, Liam, Koziara, Michal, Ollivere, Benjamin, Zheng, Amy, Atia, Fady, Goff, Thomas, Slade, Henry, Teoh, Kar, Shah, Nikhil, Al-Obaedi, Ossama, Jamal, Bilal, Bell, Stuart, Macey, Alistair, Brown, Cameron, Simpson, Cameron, Alho, Roberto, Wilson, Victoria, Lewis, Charlotte, Blyth, Daniel, Chapman, Laura, Woods, Lisa, Katmeh, Rateb, Pasapula, Chandra, Youssef, Hesham, Tan, Jerry, Famure, Steven, Grazette, Andrew, Lloyd, Adam, Beaven, Alastair, Jackowski, Anna, Piper, Dani, Lotfi, Naeil, Chakravarthy, Jagannath, Elzawahry, Ahmed, Trew, Christopher, Neo, Chryssa, Elamin-Ahmed, Hussam, Ashwood, Neil, Wembridge, Kevin, Eyre-Brook, Alistair, Greaves, Amy, Watts, Anna, Stedman, Tobias, Ker, Andrew, Wong, Li Siang, Fullarton, Mairi, Phelan, Sean, Choudry, Qaisar, Qureshi, Alham, Moulton, Lawrence, Cadwallader, Craig, Jenvey, Cara, Aqeel, Aqeel, Francis, Daniel, Simpson, Robin, Phillips, Jon, Matthews, Edward, Thomas, Ellen, Williams, Mark, Jones, Robin, White, Tim, Ketchen, Debbie, Bell, Katrina, Swain, Keri, Chitre, Amol, Lum, Joann, Syam, Kevin, Dupley, Leanne, O'Brien, Sarah, Ford, David, Chapman, Taya, Zahra, Wajiha, Guryel, Enis, McLean, Elizabeth, Dhaliwal, Kawaljit, Regan, Nora, Berstock, James, Deano, Krisna, Donovan, Richard, Blythe, Andrew, Salmon, Jennifer, Craig, Julie, Hickland, Patrick, Matthews, Scott, Brown, William, Borland, Steven, Aminat, Akinsemoyin, Stamp, Gregory, Zaheen, Humayoon, Jaibaji, Monketh, Egglestone, Anthony, Sampalli, Sridhar Rao, Goodier, Henry, Gibb, Julia, Islam, Saad, Ranaboldo, Tom, Theivendran, Kanthan, Bond, Georgina, Richards, Joanna, Sanghera, Ranjodh, Robinson, Karen, Fong, Angus, Tsang, Bonita, Dalgleish, James, McGregor-Riley, Jonathan, Barkley, Sarah, Eardley, William, Elhassan, Almutasim, Tyas, Ben, Chandler, Henry, McVie, James, Wei, Nicholas, Negus, Oliver, Baldock, Thomas, Ravi, Kuppuswamy, Qazzaz, Layth, Mohamed, Muawia, Sivayoganthan, Sriharan, Poole, William, Slade, George, Beaumont, Hugo, Beaumont, Oliver, Taha, Rowa, Lever, Caroline, Sood, Abhay, Moss, Maximillian, Khatir, Mohammed, Trompeter, Alex, Jeffers, Aisha, Brookes, Charlotte, Dadabhoy, Maria, Bhattacharya, Rajarshi, Singh, Abhinav, Beer, Alexander, Hodgson, Harry, Rahman, Kashed, Barter, Reece, Mackinnon, Thomas, Frasquet-Garcia, Antonio, Aldarragi, Ameer, Warner, Christian, Pantelides, Christopher, Attwood, Joseph, Al-Uzri, Muntadhir, Qaoud, Qaiys Abu, Green, Stephen, Osborne, Alex, Griffiths, Alexandra, Emmerson, Benjamin, Slater, Duncan, Altahoo, Hasan, Scott, Helen, Rowland, David, O'Donnell, Janine, Edwards, Taff, Hafez, Ahmed, Khan, Basharat, Crane, Emily, Axenciuc, Rostislav, Al-Habsi, Ruqaiya, McAlinden, Gavan, Sterne, Jonathan, Wong, Matthew Lynch, Patil, Sunit, Ridha, Ali, Rasidovic, Damir, Searle, Henry, Choudhry, Jamaal, Farhan-Alanie, Muhamed M, Tanagho, Andy, Sharma, Sidharth, Thomas, Suresh, Smith, Ben, McMullan, Mark, Winstanley, Robert, Mirza, Saqeb, Hamlin, Katharine, Elgayar, Lugman, Larsen, Matthew P, Eissa, Mohamed, Stevens, Samuel, Hopper, Graeme P, Fang Soh, Terrence Chi, Doorgakant, Ashtin, Yogeswaran, Apimaan, Myatt, Darren, Mahon, Joseph, Ward, Nicholas, Reid, Susan, Deierl, Krisztian, Brogan, Declan, Little, Max, Deakin, Sue, Baines, Elliott, Jones, Georgie, Boulton, Helen, Douglas, Trixie, Jeyaseelan, Lucky, Abdale, Abdirizak, Islam, Aminul, Atkinson, Kate V, Mohamedfaris, Khalid, Mmerem, Kingsley, Jamal, Shazil, Wharton, Danielle, Rana, Anurag, McAllister, Ross, Sasi, Sijith, Thomas, Terin, Pillai, Anand, Flaherty, David, Khan, Munir, Akkena, Sudheer, Shandala, Yaseen, Lankester, Benedict, Hainsworth, Louis, Ahmed, Hussam Elamin, Walshaw, Thomas, Walker, Reece, and Eardley, William G.P.

Published
2023
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5. ORthopaedic trauma hospital outcomes - Patient operative delays (ORTHOPOD) Study: The management of day-case orthopaedic trauma in the United Kingdom

Author

Stevenson, Iain, Yoong, Andrel, Rankin, Iain, Dixon, James, Lim, Jun Wei, Sattar, Mariam, McDonald, Stephen, Scott, Sharon, Davies, Helen, Jones, Louise, Nolan, Michelle, McGinty, Rebecca, Stevenson, Helene, Bowe, David, Sim, Francis, Vun, James, Strain, Ritchie, Giannoudis, Vasileios, Talbot, Christopher, Gunn, Christopher, Le, Ha Phuong Do, Bradley, Matthew, Lloyd, William, Hanratty, Brian, Lim, Yizhe, Brookes-Fazakerley, Steven, Varasteh, Amir, Francis, Jonathan, Choudhry, Nameer, Malik, Sheraz, Vats, Amit, Evans, Ashish, Garner, Madeleine, King, Stratton, Zbaeda, Mohamed, Diamond, Owen, Baker, Gavin, Napier, Richard, Guy, Stephen, McCauley, Gordon, King, Samuel, Edwards, Gray, Lin, Benjamin, Davoudi, Kaveh, Haines, Samuel, Raghuvanshi, Manav, Buddhdev, Pranai, Karam, Edward, Nimmyel, Enoch, Ekanem, George, Lateef, Razaq, Jayadeep, JS, Crowther, Ian, Mazur, Karolina, Hafiz, Nauman, Khan, Umair, Chettiar, Krissen, Ibrahim, Amr, Gopal, Prasanth, Tse, Shannon, Lakshmipathy, Raj, Towse, Claudia, Al-Musawi, Hashim, Walmsley, Matthew, Aspinall, Will, Metcalfe, James, Moosa, Aliabbas, Crome, George, Abdelmonem, Mohamed, Lakpriya, Sathya, Hawkins, Amanda, Waugh, Dominic, Kennedy, Matthew, Elsagheir, Mohamed, Kieffer, Will, Oyekan, Adekinte, Collis, Justin, Raad, Marjan, Raut, Pramin, Baker, Markus, Gorvett, Alexander, Gleeson, Hannah, Fahmy, John, Walters, Sam, Tinning, Craig, Chaturvedi, Abhishek, Russell, Heather, Alsawada, Osama, Sinnerton, Robert, Crane, Evan, Warwick, Catherine, Dimascio, Lucia, Ha, Taegyeong Tina, King, Thomas, Engelke, Daniel, Chan, Matthew, Gopireddy, Rajesh, Deo, Sunny, Vasarhelyi, Ferenc, Jhaj, Jasmeet, Dogramatzis, Kostas, McCartney, Sarah, Ardolino, Toni, Fraig, Hossam, Hiller-Smith, Ryan, Haughton, Benjamin, Greenwood, Heather, Stephenson, Nicola, Chong, Yuki, Sleat, Graham, Saedi, Farid, Gouda, Joe, Ravi, Sanjeev Musuvathy, Henari, Shwan, Imam, Sam, Howell, Charles, Theobald, Emma, Wright, Jan, Cormack, Jonathan, Borja, Karlou, Wood, Sandy, Khatri, Amulya, Bretherton, Chris, Tunstall, Charlotte, Lowery, Kathryn, Holmes, Benjamin, Nichols, Jennifer, Bashabayev, Beibit, Wildin, Clare, Sofat, Rajesh, Thiagarajan, Aarthi, Abdelghafour, Karim, Nicholl, James, Abdulhameed, Ahmed, Duke, Kathryn, Maling, Lucy, McCann, Matthew, Masud, Saqib, Marshman, James, Moreau, Joshua, Cheema, Kanwalnaini, Rageeb, Peter Morad, Mirza, Yusuf, Kelly, Andrew, Hassan, Abdul, Christie, Alexander, Davies, Angharad, Tang, Cary, Frostick, Rhiannon, Pemmaraju, Gopalakrishna, Handford, Charles, Chauhan, Govind, Dong, Huan, Choudri, Mohammed Junaid, Loveday, David, Bawa, Akshdeep, Baldwick, Cheryl, Roberton, Andrew, Burden, Eleanor, Nagi, Sameer, Johnson-Lynn, Sarah, Guiot, Luke, Kostusiak, Milosz, Appleyard, Thomas, Mundy, Gary, Basha, Amr, Abdeen, Bashar, Robertson-Smith, Bill, Hussainy, Haydar Al, Reed, Mike, Jamalfar, Aral, Flintoft, Emily, McGovern, Julia, Alcock, Liam, Koziara, Michal, Ollivere, Benjamin, Zheng, Amy, Atia, Fady, Goff, Thomas, Slade, Henry, Teoh, Kar, Shah, Nikhil, Al-Obaedi, Ossama, Jamal, Bilal, Bell, Stuart, Macey, Alistair, Brown, Cameron, Simpson, Cameron, Alho, Roberto, Wilson, Victoria, Lewis, Charlotte, Blyth, Daniel, Chapman, Laura, Woods, Lisa, Katmeh, Rateb, Pasapula, Chandra, Youssef, Hesham, Tan, Jerry, Famure, Steven, Grazette, Andrew, Lloyd, Adam, Beaven, Alastair, Jackowski, Anna, Piper, Dani, Lotfi, Naeil, Chakravarthy, Jagannath, Elzawahry, Ahmed, Trew, Christopher, Neo, Chryssa, Elamin-Ahmed, Hussam, Ashwood, Neil, Wembridge, Kevin, Eyre-Brook, Alistair, Greaves, Amy, Watts, Anna, Stedman, Tobias, Ker, Andrew, Wong, Li Siang, Fullarton, Mairi, Phelan, Sean, Choudry, Qaisar, Qureshi, Alham, Moulton, Lawrence, Cadwallader, Craig, Jenvey, Cara, Aqeel, Aqeel, Francis, Daniel, Simpson, Robin, Phillips, Jon, Matthews, Edward, Thomas, Ellen, Williams, Mark, Jones, Robin, White, Tim, Ketchen, Debbie, Bell, Katrina, Swain, Keri, Chitre, Amol, Lum, Joann, Syam, Kevin, Dupley, Leanne, O'Brien, Sarah, Ford, David, Chapman, Taya, Zahra, Wajiha, Guryel, Enis, McLean, Elizabeth, Dhaliwal, Kawaljit, Regan, Nora, Berstock, James, Deano, Krisna, Donovan, Richard, Blythe, Andrew, Salmon, Jennifer, Craig, Julie, Hickland, Patrick, Matthews, Scott, Brown, William, Borland, Steven, Aminat, Akinsemoyin, Stamp, Gregory, Zaheen, Humayoon, Jaibaji, Monketh, Egglestone, Anthony, Sampalli, Sridhar Rao, Goodier, Henry, Gibb, Julia, Islam, Saad, Ranaboldo, Tom, Theivendran, Kanthan, Bond, Georgina, Richards, Joanna, Sanghera, Ranjodh, Robinson, Karen, Fong, Angus, Tsang, Bonita, Dalgleish, James, McGregor-Riley, Jonathan, Barkley, Sarah, Eardley, William, Elhassan, Almutasim, Tyas, Ben, Chandler, Henry, McVie, James, Wei, Nicholas, Negus, Oliver, Baldock, Thomas, Ravi, Kuppuswamy, Qazzaz, Layth, Mohamed, Muawia, Sivayoganthan, Sriharan, Poole, William, Slade, George, Beaumont, Hugo, Beaumont, Oliver, Taha, Rowa, Lever, Caroline, Sood, Abhay, Moss, Maximillian, Khatir, Mohammed, Trompeter, Alex, Jeffers, Aisha, Brookes, Charlotte, Dadabhoy, Maria, Bhattacharya, Rajarshi, Singh, Abhinav, Beer, Alexander, Hodgson, Harry, Rahman, Kashed, Barter, Reece, Mackinnon, Thomas, Frasquet-Garcia, Antonio, Aldarragi, Ameer, Warner, Christian, Pantelides, Christopher, Attwood, Joseph, Al-Uzri, Muntadhir, Qaoud, Qaiys Abu, Green, Stephen, Osborne, Alex, Griffiths, Alexandra, Emmerson, Benjamin, Slater, Duncan, Altahoo, Hasan, Scott, Helen, Rowland, David, O'Donnell, Janine, Edwards, Taff, Hafez, Ahmed, Khan, Basharat, Crane, Emily, Axenciuc, Rostislav, Al-Habsi, Ruqaiya, McAlinden, Gavan, Sterne, Jonathan, Wong, Matthew Lynch, Patil, Sunit, Ridha, Ali, Rasidovic, Damir, Searle, Henry, Choudhry, Jamaal, Farhan-Alanie, Muhamed M, Tanagho, Andy, Sharma, Sidharth, Thomas, Suresh, Smith, Ben, McMullan, Mark, Winstanley, Robert, Mirza, Saqeb, Hamlin, Katharine, Elgayar, Lugman, Larsen, Matthew P, Eissa, Mohamed, Stevens, Samuel, Hopper, Graeme P, Fang Soh, Terrence Chi, Doorgakant, Ashtin, Yogeswaran, Apimaan, Myatt, Darren, Mahon, Joseph, Ward, Nicholas, Reid, Susan, Deierl, Krisztian, Brogan, Declan, Little, Max, Deakin, Sue, Baines, Elliott, Jones, Georgie, Boulton, Helen, Douglas, Trixie, Jeyaseelan, Lucky, Abdale, Abdirizak, Islam, Aminul, Atkinson, Kate V, Mohamedfaris, Khalid, Mmerem, Kingsley, Jamal, Shazil, Wharton, Danielle, Rana, Anurag, McAllister, Ross, Sasi, Sijith, Thomas, Terin, Pillai, Anand, Flaherty, David, Khan, Munir, Akkena, Sudheer, Shandala, Yaseen, Lankester, Benedict, Hainsworth, Louis, Baldock, Thomas E., Walshaw, Thomas, Walker, Reece, and Eardley, William P.G.

Published
2023
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6. Intrinsic muscle clock is necessary for musculoskeletal health

Author

Schroder, Elizabeth A., Harfmann, Brianna D., Zhang, Xiping, Srikuea, Ratchakrit, England, Jonathan H., Hodge, Brian A., Wen, Yuan, Riley, Lance A., Yu, Qi, Christie, Alexander, Smith, Jeffrey D., Seward, Tanya, Wolf Horrell, Erin M., Mula, Jyothi, Peterson, Charlotte A., Butterfield, Timothy A., and Esser, Karyn A.

Published
2015
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9. Letter to the Editor: Recent op-ed inconsistent with position on open discourse

Author

Christie, Alexander

Subjects
Activists, News, opinion and commentary, Sports and fitness
Abstract

Byline: Alexander Christie Alexander Christie Contributor POSTED February 25, 2019 I organized and supervised the Steven Crowder event on Jan. 22 and thought it went quite well. Outside of a [...]

Published
2019

10. Shutdown at the D.C. corral

Author

Christie, Alexander

Subjects
News, opinion and commentary, Sports and fitness
Abstract

Byline: Alexander ChristieAlexander ChristieContributorPOSTEDJanuary 28, 2019Partial government closure necessary to reexamine issue of border securityDuring the Trump presidency, Americans have seen many records broken. We've broken all sorts of stock [...]

Published
2019

18. Changing patterns in mental illness in the elderly.

Author

Christie, Alexander B. and Christie, A B

Subjects
OLDER people with mental illness, MENTAL illness, DEMENTIA, HOSPITAL care, HOSPITAL beds, DISTRIBUTION (Probability theory)
Abstract

The study of Graylingwell Hospital conducted by Roth (1955) has in part been replicated in order to study the changing patterns of mental illness in the elderly over a 25-year period. Important changes in the diagnostic distribution and outcome of cases admitted have occurred. Functional illness has given way to dementia, not as a proportion of patients admitted but in the number of beds employed for their care 6 and 24 months after their index admission. Discharge rates for all diagnostic groups except acute confusional states, have undergone considerable change and death rates have fallen. The study has concentrated on the residual in-patient population, paying particular attention to increasing demand for beds for the dementing group. These changes have been quantified and reflect a four-year increase in bed requirements for cases of dementia at two years. Despite a striking reduction in requirement for functional cases, there is an overall increase in bed requirement of 38 per cent at the two-year mark. [ABSTRACT FROM AUTHOR]

Published
1982
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21. Cases of Catarrhal Cholera

Author

Christie, Alexander Turnbull

Subjects
Reports from Hospitals and Medical Institutions
Published
1832

47. Raising The Fleet.

Author

Christie, Alexander

Subjects
LETTERS to the editor, BATTLESHIPS
Abstract

Presents a letter to the editor about the raising of the German battleship the Grosser Kurfurst in Scapa Flow, Scotland.

Published
2006

48. Clinical Geropsychiatry.

Author

Christie, Alexander B.

Subjects
GERIATRIC psychiatry, NONFICTION
Abstract

The article reviews the book "Clinical Geropsychiatry," 2nd edition, by Adrian Verwoedt.

Published
1981

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