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if dX = || · ||, dY = || · ||: concave! ↵ 2 M1 + (X) and dX distance on X. <latexit 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<latexit 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<latexit 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Metric measure space X , (X, ↵, dX ): X <latexit 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sha1_base64="6XcTMNLhOkSkELp7a9v5fVQsQH4=">AABFhXictVzrdhPJEW42l92QGyQ/82eyXnLYHNYxXrKbPXtysmAb48WAQLKBxcDRZSwGJI3QSDKg9aPkb/IYeY68QfIrr5C6dE/3SD1TPQ7xHFs9rf6qqmu6q6uqe9wZD5JsurHxz3Mf/OCHP/rxhx/95PxPf/bzX/zywsVfHWbpbNKND7rpIJ086rSzeJCM4oNpMh3Ej8aTuD3sDOKHnVdb+P3DeTzJknTUmr4dx0+H7f4oOU667SlUPb9wcTaOpmmUZOkwnk6SOFt/fmFtY32DfqLVwlVdWFP6p5Fe/HhdHameSlVXzdRQxWqkplAeqLbK4HqirqoNNYa6p2oBdRMoJfR9rE7VecDOoFUMLdpQ+wr+9uHuia4dwT3SzAjdBS4D+J0AMlKXAJNCuwmUkVtE38+IMtaW0V4QTZTtLXx2NK0h1E7VC6iVcKZlKA77MlXH6k/UhwT6NKYa7F1XU5mRVlDyyOnVFCiMoQ7LPfh+AuUuIY2eI8Jk1HfUbZu+/xe1xFq87+q2M/VvkvISXJFq6t6nOYW2mhP9iJ7mDL5jeQbAuQ8UYt1HLJ2QrofU+xG0X0D9XbhOqWR00oFrQbWnlcgtuHzILRG5C5cPuSsi9+HyIfdFZAMuH7KhkYidkM79+CZcPnxT5HwfLh/yvoh8AJcP+UBEHsLlQx6KyO/g8iG/E5E34fIhb4rI23D5kLdFZAsuH7IlIg/g8iEPROQOXD7kjkaWz9QJXCnRSYRZeR3KRR5oKQZQc12U7wZZRx/2RsCc7pZg5Vm9DZ9+7HaATuMS7E7AuDsuwcojbxdspB8r26JbtJr4sLdE7B6MAD92T8R+q16WYL8NmGmvSrDyXNuHdn6sbH3vwJ0fe0fE3oWSHyuvUfegxo+9F7BijEuwDRF7X70uwYZY/UkJVrb7TbArfqy8TrWgvR8bYk1nJVjZnh6CB+PHyqvVQ6j1Yx+K2EfqTQn2kYh9DNbdj30csMK+K8GaNfY8rSB98kdimLFV1Nr5rMTSGKi1Bf6DfG0ZkG/cgXoJ088xfcIMRcRujtgNROzniP1gubLcjmbk78pcmjmiGYjo5GsTlqZi+17eHkuDAMR2jtheQlR5pPisTV/m5F2YGgk5zVcuLIX0Kc3tN5ZiPR6qLa9B3CsgeGy/oJF/haIljKBQU1XUXuRrPCMjuq9CnFD0ZnppeMi4aW4VXNQbEdXxoDoi6q0H9VZEzTyomYiae1BzEWVnvos7ChgBVv/4LBZ0xyOAfeTyKwKv4DqsOrdgjkYwfhrgBT6gmnvw2aTYW7qqJMNoHtdJzHI8LVjiCZQWag3qbVS4TfH1gGZYDJJxy3s6xsc7zG0s9JxjK3yar+RRnjEJp5OQPP2cDnqLEc2nenRuU80peXdcqoe/lc97U6qH3yGNn5IXz6V6+KmWfnoG2Vsa2zoDtgmzaay1b8t1aXD+hWmY8nladdHi4lMd6jGD9N7UpL+nn8zeGZ7LFpVYP7Zcj0bm9C8r9K8ODavnzNFzPSroPbHXa0pR7Z6MdNxry3VlSGkVHWk57F3dJ4NtevrJmHI9Gg3wuLYo5l445bqjd5z3xpbr0ThUnPc8JU/elOvR6NM968OW69HAbEtbx/m2XNeyowY4drblulZ9RFlgzAHxmOca6xVNyE+aaWoJ+QfV2RrX519dxzBn8yyPEaopWd+2nE4nX8uqJTL+QgxWbVpTDvQvZo4PVqSxUJtifMUyTAvr+yodu8aj5vdBixHMft4DkHLmA5DQ5CTQeg+A4lUx6ir2zOA2RRyOkuMl1JGunYreouXLWaNi3XOqleIy21urxyOy1xmNvTH5hPukWUkP+6VPuIyipKH9goZkenV0907P16L2N0TceAkxzkdal3aEeCetOk71ab3p6PiS3uWZwsV7Pnb8Yrb5WFsbjHlSskUoSxVPt53JI7l1uK5eUTbHzd9F9ETRXs3JaiS0I5WJUajJFrM3vqB7S/uA9uSQB9PownOMNJWx4l0zzKJjPj0ii+raW4k36stk6LickdU19rga3XfQfQ+6foyzBSvGXSi1IGY4gLtWQJRzPtdVShqfqM/y3dGUnmB1RD8oWEhDg+1NXLCQVVH2iwKVE0DjaOAoPZzGMh2DP1qhJEf9Pnls7Fq0/Jdo59bsb7dpjJeP5vJMTI+4bhLXiGYN7+ry3TIHlmDh/WaT/NfqXiK/OhzRhkpcnzmcWS8j2vGPKYIdk2c8oNkmzY5iazc/tfyN4dRQZu8cd7NTspAR2b8I1qeUxmREv+7ZAbODzhZhQDYyxO4kuXfj83UScYxZPy5RfKrBjreYbNmM+Bu67uzKaCxyxMDrwOnS2DY62SdfMCauE23d7dyuXn0Qac9JuKOEKdqxcpn4f0p/za8ZJ2srIwI1jE8g07bO9zxSillQR21a5attkGnrSvlJLsMzLbVd/6xMnxQk26aIC+XB1boHnLt0z7xwlExI7mylDa+jVdlcpDxe0iP29piieLb7fb0Co9xXaJVcozl3RKOkD6NgmkcRpq2URV7mW82rSD2MdvZ/oW51XdQaUoyUzeCyhqT8fkzRmivlAEY1j99XNJv8Wp8starmM6KxOHTm8vdQ+1v4a+Q292F0OgWrcIPGAFOwd1YjXBOttAjjdaPAy4xMQ8veW352TJpWbs1Z4mu2bjbGntem0qBR80ZnLUz5LDReOjReBuqwRXuNVoum3lii52Js0dK7laH86nBr1aA8EynLHplBJQFSurFUGNWeSFWO8Q3qnUhrQ6TVhtnq7ga4cz4E6Z/ry7P7+3x1j9RN8m265IFx/NKjWZqQz2VqqyM1poCcr2n76s7+I6pB7h2yoEiZz3HijOFdpy5dp7mkv9MrW0p23loEc27pRLcxNvaIyp+vIIc0JzKalwZxjVrEWn5XjmjJIq07PkdEmf82+VTsd1THzG5r+0yigj9h402eVZYXRwoj0r+UedtbiV73nPg1ophwpr3rDtCq/4SRAmNMJsHvWWb0hHCV450E9mg7ZD9X7RTv4o0cidZJ6oX6c4CN4ajXjnV3bJkem779Hlqi1u1T97WQ+Q2COUr8zrKj16ZVbah91MXS/dlotfUqV7yv0sNsia/Vx4zauJGFjfKKmCP1dTAXlqgeF8aEcKnXizry15O8jsy8OxVK2bQ2lIuZBrYxLyheks6BIsLn3V32enOfCv3orNDrENalxjUSJczGpTo/4FpazEpFSxGSWy+tSQNnPSpbLywPd9WwdpwtZUxWcKCk3A23dvtwVIhW5GwMU+gqPtlbFie6NL+GC/9GyhclGo4hOcQm+LnX1ZbaeQ+nIl7rMmc2I6pBm9BbisHbup/FFtU6eu1Qd+mHcAjnkYCuJekTWlHrys6UZcld6uH0T8gaTFQsSm9b1u+Dy0XuySqnOv1JyMLJvUmUeSenbl8Mh5CeFLmE8+H9DakXx8q821SvD4a63IMihzo8zHmGsGduW9fn5XKq1tcql1AevA6YnReDwx3A8pjFtguxUBPnibx/Dmgdjiuom9Xif+2H4WM51ecVyi2jd85eBjx1bhfrzCz6xfXnjOUWMprLOYbzTPPeWa/Jz4/9v6jWk0qd3rx/+uiX2jFgeC0U50Nl6RjvjiIrbygV3B/wyZCq/6h/nJPfSnid0yiTow4ls19RTs20kKmZNy99vTPfhchk6ZTJVKRm44kmnYzdUnvqJvxu5R5g3VOi/E4lfyLW/x5tD2qPyXqYbDpnEI6oLqYsiN1N69G9PUdbJjGe6eUzvi2owT3xfarF8753qT2e+W0V+lb+JgnP9TsqVb1CZLK8y2fnVQd6UNyB41yQed83ojP1nM3iE2jDgD1GPkfFkZJ5+3lBiB7FhcuSLghhRksV5Y6XcofOJMUltDuFvnVphI/1Tj/uO+D5/HaeXYrUH6iurVcHXKklqRoeqZ5QZqBD+t+ACO2P6gp8XtFlv6SNFUkzegZFid4431WfBDv1jgv7NuMlyoOZTN1ct0spqre7h9WZ2O1SLnzivRrfr8D3HSmb9LReUdw9UdW5w1kFzZmWyd3PHSmT92Q9YDTbzsdHdfw8r+A1D+j/7VL0bUfSXZClQ9n2iPbzJkRvoHWzQ9LzucrqvO2tCmnNW5tM056stOPAnJGs4oBvlW0Js5/fPKteGfANMz8dd64/Dth3wZ5IEvHJTCl7FAdIxGdEpfMriZeSbDHGAecz2gG9lfsa0lOJykyUZBbwbvQ8QJZ5AJ1jQZpjkUJflERbLPp/JF/RT8SFL6/pwldX8/9Hcri5fvWL9c/vb659c0P/Z5KP1G/Ux+oyrMZfqm9gRjbUAXA6UX9Vf1N/3/lw57OdaztfcNMPzmnMr1XhZ+cv/wWO0mJX</latexit> up to isometries. <latexit sha1_base64="fcW1dR7VxF9OmMhK+EQAhlodyGE=">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</latexit> Theorem: GW is a distance X <latexit 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<latexit 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x0 [Memoli 2011]<latexit 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[Sturm 2011] <latexit sha1_base64="oDSbclDecgWv8h9r/GWp6jqC/ec=">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</latexit> GW2 2 (X, Y) def. = <latexit sha1_base64="TsngS446EAlSJmDVyPstZmHXnPI=">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</latexit> min P1=a,P>1=b hQP, Pi <latexit sha1_base64="hPciGpqVMnvJnUj42WG5Sjabfec=">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</latexit> def. = X i,i0,j,j0 |dX (xi, xi0 ) dY (yj, yj0 )|2Pi,jPi0,j0